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Finding the Fourth Proportional to 502,064.83, 692,853.93 and 275,711.95

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Solution

The fourth proportional to 502,064.83, 692,853.93 and 275,711.95 is: 380,484.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,064.83 : 692,853.93 = 275,711.95 : x
  2. Step 2: Convert to fraction form
    502,064.83/692,853.93 = 275,711.95/x
  3. Step 3: Cross multiply
    502,064.83x = 692,853.93 × 275,711.95
  4. Step 4: Simplify right side
    502,064.83x = 191,028,108,105.46
  5. Step 5: Solve for x
    x = 191,028,108,105.46/502,064.83
  6. Step 6: Final answer
    x = 380,484.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.