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Finding the Fourth Proportional to 415,281, 623,025.54 and 119,793

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Solution

The fourth proportional to 415,281, 623,025.54 and 119,793 is: 179,719.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,281 : 623,025.54 = 119,793 : x
  2. Step 2: Convert to fraction form
    415,281/623,025.54 = 119,793/x
  3. Step 3: Cross multiply
    415,281x = 623,025.54 × 119,793
  4. Step 4: Simplify right side
    415,281x = 74,634,098,513.22
  5. Step 5: Solve for x
    x = 74,634,098,513.22/415,281
  6. Step 6: Final answer
    x = 179,719.51

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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.