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Finding the Fourth Proportional to 415,956.34, 623,886.27 and 116,460.87

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Solution

The fourth proportional to 415,956.34, 623,886.27 and 116,460.87 is: 174,677.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,956.34 : 623,886.27 = 116,460.87 : x
  2. Step 2: Convert to fraction form
    415,956.34/623,886.27 = 116,460.87/x
  3. Step 3: Cross multiply
    415,956.34x = 623,886.27 × 116,460.87
  4. Step 4: Simplify right side
    415,956.34x = 72,658,337,785.25
  5. Step 5: Solve for x
    x = 72,658,337,785.25/415,956.34
  6. Step 6: Final answer
    x = 174,677.80

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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.