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Finding the Fourth Proportional to 415,894.52, 623,749.84 and 116,294.56

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Solution

The fourth proportional to 415,894.52, 623,749.84 and 116,294.56 is: 174,416.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,894.52 : 623,749.84 = 116,294.56 : x
  2. Step 2: Convert to fraction form
    415,894.52/623,749.84 = 116,294.56/x
  3. Step 3: Cross multiply
    415,894.52x = 623,749.84 × 116,294.56
  4. Step 4: Simplify right side
    415,894.52x = 72,538,711,342.76
  5. Step 5: Solve for x
    x = 72,538,711,342.76/415,894.52
  6. Step 6: Final answer
    x = 174,416.13

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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.