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Finding the Fourth Proportional to 502,065, 692,854.56 and 275,715.36

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Solution

The fourth proportional to 502,065, 692,854.56 and 275,715.36 is: 380,489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,065 : 692,854.56 = 275,715.36 : x
  2. Step 2: Convert to fraction form
    502,065/692,854.56 = 275,715.36/x
  3. Step 3: Cross multiply
    502,065x = 692,854.56 × 275,715.36
  4. Step 4: Simplify right side
    502,065x = 191,030,644,438.04
  5. Step 5: Solve for x
    x = 191,030,644,438.04/502,065
  6. Step 6: Final answer
    x = 380,489.87

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