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Finding the Fourth Proportional to 527,514.66, 727,970.40 and 285,798.90

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Solution

The fourth proportional to 527,514.66, 727,970.40 and 285,798.90 is: 394,402.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,514.66 : 727,970.40 = 285,798.90 : x
  2. Step 2: Convert to fraction form
    527,514.66/727,970.40 = 285,798.90/x
  3. Step 3: Cross multiply
    527,514.66x = 727,970.40 × 285,798.90
  4. Step 4: Simplify right side
    527,514.66x = 208,053,139,552.56
  5. Step 5: Solve for x
    x = 208,053,139,552.56/527,514.66
  6. Step 6: Final answer
    x = 394,402.57

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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.