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Finding the Fourth Proportional to 502,524, 753,377.76 and 277,875.36

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Solution

The fourth proportional to 502,524, 753,377.76 and 277,875.36 is: 416,587.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,524 : 753,377.76 = 277,875.36 : x
  2. Step 2: Convert to fraction form
    502,524/753,377.76 = 277,875.36/x
  3. Step 3: Cross multiply
    502,524x = 753,377.76 × 277,875.36
  4. Step 4: Simplify right side
    502,524x = 209,345,116,275.99
  5. Step 5: Solve for x
    x = 209,345,116,275.99/502,524
  6. Step 6: Final answer
    x = 416,587.30

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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.