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Finding the Fourth Proportional to 527,371.66, 727,294.55 and 346,014.69

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Solution

The fourth proportional to 527,371.66, 727,294.55 and 346,014.69 is: 477,186.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,371.66 : 727,294.55 = 346,014.69 : x
  2. Step 2: Convert to fraction form
    527,371.66/727,294.55 = 346,014.69/x
  3. Step 3: Cross multiply
    527,371.66x = 727,294.55 × 346,014.69
  4. Step 4: Simplify right side
    527,371.66x = 251,654,593,799.51
  5. Step 5: Solve for x
    x = 251,654,593,799.51/527,371.66
  6. Step 6: Final answer
    x = 477,186.42

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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.