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Finding the Fourth Proportional to 584,565.78, 876,874.18 and 185,236

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Solution

The fourth proportional to 584,565.78, 876,874.18 and 185,236 is: 277,862.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,565.78 : 876,874.18 = 185,236 : x
  2. Step 2: Convert to fraction form
    584,565.78/876,874.18 = 185,236/x
  3. Step 3: Cross multiply
    584,565.78x = 876,874.18 × 185,236
  4. Step 4: Simplify right side
    584,565.78x = 162,428,665,606.48
  5. Step 5: Solve for x
    x = 162,428,665,606.48/584,565.78
  6. Step 6: Final answer
    x = 277,862.08

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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.