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Finding the Fourth Proportional to 468,006.60, 701,999.10 and 152,461.20

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Solution

The fourth proportional to 468,006.60, 701,999.10 and 152,461.20 is: 228,688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,006.60 : 701,999.10 = 152,461.20 : x
  2. Step 2: Convert to fraction form
    468,006.60/701,999.10 = 152,461.20/x
  3. Step 3: Cross multiply
    468,006.60x = 701,999.10 × 152,461.20
  4. Step 4: Simplify right side
    468,006.60x = 107,027,625,184.92
  5. Step 5: Solve for x
    x = 107,027,625,184.92/468,006.60
  6. Step 6: Final answer
    x = 228,688.28

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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.