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Finding the Fourth Proportional to 468,010.60, 702,005.10 and 152,465.20

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Solution

The fourth proportional to 468,010.60, 702,005.10 and 152,465.20 is: 228,694.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,010.60 : 702,005.10 = 152,465.20 : x
  2. Step 2: Convert to fraction form
    468,010.60/702,005.10 = 152,465.20/x
  3. Step 3: Cross multiply
    468,010.60x = 702,005.10 × 152,465.20
  4. Step 4: Simplify right side
    468,010.60x = 107,031,347,972.52
  5. Step 5: Solve for x
    x = 107,031,347,972.52/468,010.60
  6. Step 6: Final answer
    x = 228,694.28

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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.