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Finding the Fourth Proportional to 415,875.43, 623,782.35 and 116,349.38

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Solution

The fourth proportional to 415,875.43, 623,782.35 and 116,349.38 is: 174,515.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,875.43 : 623,782.35 = 116,349.38 : x
  2. Step 2: Convert to fraction form
    415,875.43/623,782.35 = 116,349.38/x
  3. Step 3: Cross multiply
    415,875.43x = 623,782.35 × 116,349.38
  4. Step 4: Simplify right side
    415,875.43x = 72,576,688,897.72
  5. Step 5: Solve for x
    x = 72,576,688,897.72/415,875.43
  6. Step 6: Final answer
    x = 174,515.45

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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.