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Finding the Fourth Proportional to 314,928,321.80, 472,392,482.70 and 274,617,537.80

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Solution

The fourth proportional to 314,928,321.80, 472,392,482.70 and 274,617,537.80 is: 411,926,306.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,321.80 : 472,392,482.70 = 274,617,537.80 : x
  2. Step 2: Convert to fraction form
    314,928,321.80/472,392,482.70 = 274,617,537.80/x
  3. Step 3: Cross multiply
    314,928,321.80x = 472,392,482.70 × 274,617,537.80
  4. Step 4: Simplify right side
    314,928,321.80x = 129,727,260,474,303,104
  5. Step 5: Solve for x
    x = 129,727,260,474,303,104/314,928,321.80
  6. Step 6: Final answer
    x = 411,926,306.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.