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Finding the Fourth Proportional to 527,203.59, 727,539.63 and 285,486.14

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Solution

The fourth proportional to 527,203.59, 727,539.63 and 285,486.14 is: 393,970.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,203.59 : 727,539.63 = 285,486.14 : x
  2. Step 2: Convert to fraction form
    527,203.59/727,539.63 = 285,486.14/x
  3. Step 3: Cross multiply
    527,203.59x = 727,539.63 × 285,486.14
  4. Step 4: Simplify right side
    527,203.59x = 207,702,480,665.73
  5. Step 5: Solve for x
    x = 207,702,480,665.73/527,203.59
  6. Step 6: Final answer
    x = 393,970.16

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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.