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Finding the Fourth Proportional to 458,862.77, 688,714.38 and 234,380.59

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Solution

The fourth proportional to 458,862.77, 688,714.38 and 234,380.59 is: 351,785.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,862.77 : 688,714.38 = 234,380.59 : x
  2. Step 2: Convert to fraction form
    458,862.77/688,714.38 = 234,380.59/x
  3. Step 3: Cross multiply
    458,862.77x = 688,714.38 × 234,380.59
  4. Step 4: Simplify right side
    458,862.77x = 161,421,281,004.10
  5. Step 5: Solve for x
    x = 161,421,281,004.10/458,862.77
  6. Step 6: Final answer
    x = 351,785.52

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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.