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Finding the Fourth Proportional to 468,089.42, 702,207.02 and 152,472.92

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Solution

The fourth proportional to 468,089.42, 702,207.02 and 152,472.92 is: 228,733.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,089.42 : 702,207.02 = 152,472.92 : x
  2. Step 2: Convert to fraction form
    468,089.42/702,207.02 = 152,472.92/x
  3. Step 3: Cross multiply
    468,089.42x = 702,207.02 × 152,472.92
  4. Step 4: Simplify right side
    468,089.42x = 107,067,551,654.05
  5. Step 5: Solve for x
    x = 107,067,551,654.05/468,089.42
  6. Step 6: Final answer
    x = 228,733.12

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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.