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Finding the Fourth Proportional to 415,854.78, 623,690.22 and 116,254.82

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Solution

The fourth proportional to 415,854.78, 623,690.22 and 116,254.82 is: 174,356.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,854.78 : 623,690.22 = 116,254.82 : x
  2. Step 2: Convert to fraction form
    415,854.78/623,690.22 = 116,254.82/x
  3. Step 3: Cross multiply
    415,854.78x = 623,690.22 × 116,254.82
  4. Step 4: Simplify right side
    415,854.78x = 72,506,991,143.41
  5. Step 5: Solve for x
    x = 72,506,991,143.41/415,854.78
  6. Step 6: Final answer
    x = 174,356.52

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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.