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Finding the Fourth Proportional to 929,596, 1,282,842.50 and 527,188

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Solution

The fourth proportional to 929,596, 1,282,842.50 and 527,188 is: 727,519.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    929,596 : 1,282,842.50 = 527,188 : x
  2. Step 2: Convert to fraction form
    929,596/1,282,842.50 = 527,188/x
  3. Step 3: Cross multiply
    929,596x = 1,282,842.50 × 527,188
  4. Step 4: Simplify right side
    929,596x = 676,299,171,890
  5. Step 5: Solve for x
    x = 676,299,171,890/929,596
  6. Step 6: Final answer
    x = 727,519.45

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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.