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Finding the Fourth Proportional to 461,909.50, 692,883.34 and 158,512.20

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Solution

The fourth proportional to 461,909.50, 692,883.34 and 158,512.20 is: 237,774.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,909.50 : 692,883.34 = 158,512.20 : x
  2. Step 2: Convert to fraction form
    461,909.50/692,883.34 = 158,512.20/x
  3. Step 3: Cross multiply
    461,909.50x = 692,883.34 × 158,512.20
  4. Step 4: Simplify right side
    461,909.50x = 109,830,461,966.71
  5. Step 5: Solve for x
    x = 109,830,461,966.71/461,909.50
  6. Step 6: Final answer
    x = 237,774.85

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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.