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Finding the Fourth Proportional to 459,372.32, 688,458.84 and 234,542.64

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Solution

The fourth proportional to 459,372.32, 688,458.84 and 234,542.64 is: 351,507.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,372.32 : 688,458.84 = 234,542.64 : x
  2. Step 2: Convert to fraction form
    459,372.32/688,458.84 = 234,542.64/x
  3. Step 3: Cross multiply
    459,372.32x = 688,458.84 × 234,542.64
  4. Step 4: Simplify right side
    459,372.32x = 161,472,953,864.94
  5. Step 5: Solve for x
    x = 161,472,953,864.94/459,372.32
  6. Step 6: Final answer
    x = 351,507.80

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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.