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Finding the Fourth Proportional to 415,957.34, 623,887.76 and 116,461.86

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Solution

The fourth proportional to 415,957.34, 623,887.76 and 116,461.86 is: 174,679.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,957.34 : 623,887.76 = 116,461.86 : x
  2. Step 2: Convert to fraction form
    415,957.34/623,887.76 = 116,461.86/x
  3. Step 3: Cross multiply
    415,957.34x = 623,887.76 × 116,461.86
  4. Step 4: Simplify right side
    415,957.34x = 72,659,128,960.83
  5. Step 5: Solve for x
    x = 72,659,128,960.83/415,957.34
  6. Step 6: Final answer
    x = 174,679.28

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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.