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Finding the Fourth Proportional to 314,257.80, 471,386.70 and 202,283.40

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Solution

The fourth proportional to 314,257.80, 471,386.70 and 202,283.40 is: 303,425.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,257.80 : 471,386.70 = 202,283.40 : x
  2. Step 2: Convert to fraction form
    314,257.80/471,386.70 = 202,283.40/x
  3. Step 3: Cross multiply
    314,257.80x = 471,386.70 × 202,283.40
  4. Step 4: Simplify right side
    314,257.80x = 95,353,704,390.78
  5. Step 5: Solve for x
    x = 95,353,704,390.78/314,257.80
  6. Step 6: Final answer
    x = 303,425.10

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1.5x scale

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.