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Finding the Fourth Proportional to 552,105.60, 827,575.20 and 314,937.60

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Solution

The fourth proportional to 552,105.60, 827,575.20 and 314,937.60 is: 472,073.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,105.60 : 827,575.20 = 314,937.60 : x
  2. Step 2: Convert to fraction form
    552,105.60/827,575.20 = 314,937.60/x
  3. Step 3: Cross multiply
    552,105.60x = 827,575.20 × 314,937.60
  4. Step 4: Simplify right side
    552,105.60x = 260,634,547,307.52
  5. Step 5: Solve for x
    x = 260,634,547,307.52/552,105.60
  6. Step 6: Final answer
    x = 472,073.73

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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.