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Finding the Fourth Proportional to 315,281.80, 472,922.70 and 310,097.80

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Solution

The fourth proportional to 315,281.80, 472,922.70 and 310,097.80 is: 465,146.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,281.80 : 472,922.70 = 310,097.80 : x
  2. Step 2: Convert to fraction form
    315,281.80/472,922.70 = 310,097.80/x
  3. Step 3: Cross multiply
    315,281.80x = 472,922.70 × 310,097.80
  4. Step 4: Simplify right side
    315,281.80x = 146,652,288,840.06
  5. Step 5: Solve for x
    x = 146,652,288,840.06/315,281.80
  6. Step 6: Final answer
    x = 465,146.70

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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.