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Finding the Fourth Proportional to 457,731.10, 686,596.65 and 432,070.30

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Solution

The fourth proportional to 457,731.10, 686,596.65 and 432,070.30 is: 648,105.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,731.10 : 686,596.65 = 432,070.30 : x
  2. Step 2: Convert to fraction form
    457,731.10/686,596.65 = 432,070.30/x
  3. Step 3: Cross multiply
    457,731.10x = 686,596.65 × 432,070.30
  4. Step 4: Simplify right side
    457,731.10x = 296,658,020,544.50
  5. Step 5: Solve for x
    x = 296,658,020,544.50/457,731.10
  6. Step 6: Final answer
    x = 648,105.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.