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Finding the Fourth Proportional to 415,698.50, 623,549.06 and 116,177.10

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Solution

The fourth proportional to 415,698.50, 623,549.06 and 116,177.10 is: 174,266.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,698.50 : 623,549.06 = 116,177.10 : x
  2. Step 2: Convert to fraction form
    415,698.50/623,549.06 = 116,177.10/x
  3. Step 3: Cross multiply
    415,698.50x = 623,549.06 × 116,177.10
  4. Step 4: Simplify right side
    415,698.50x = 72,442,120,917.64
  5. Step 5: Solve for x
    x = 72,442,120,917.64/415,698.50
  6. Step 6: Final answer
    x = 174,266.02

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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.