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Finding the Fourth Proportional to 527,410.60, 727,811.62 and 309,615.77

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Solution

The fourth proportional to 527,410.60, 727,811.62 and 309,615.77 is: 427,260.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,410.60 : 727,811.62 = 309,615.77 : x
  2. Step 2: Convert to fraction form
    527,410.60/727,811.62 = 309,615.77/x
  3. Step 3: Cross multiply
    527,410.60x = 727,811.62 × 309,615.77
  4. Step 4: Simplify right side
    527,410.60x = 225,341,955,141.25
  5. Step 5: Solve for x
    x = 225,341,955,141.25/527,410.60
  6. Step 6: Final answer
    x = 427,260.95

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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.