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Finding the Fourth Proportional to 468,397.04, 702,707.36 and 152,854.52

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Solution

The fourth proportional to 468,397.04, 702,707.36 and 152,854.52 is: 229,318.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,397.04 : 702,707.36 = 152,854.52 : x
  2. Step 2: Convert to fraction form
    468,397.04/702,707.36 = 152,854.52/x
  3. Step 3: Cross multiply
    468,397.04x = 702,707.36 × 152,854.52
  4. Step 4: Simplify right side
    468,397.04x = 107,411,996,213.27
  5. Step 5: Solve for x
    x = 107,411,996,213.27/468,397.04
  6. Step 6: Final answer
    x = 229,318.26

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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.