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Finding the Fourth Proportional to 527,191.64, 727,701.90 and 320,459.30

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Solution

The fourth proportional to 527,191.64, 727,701.90 and 320,459.30 is: 442,341.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,191.64 : 727,701.90 = 320,459.30 : x
  2. Step 2: Convert to fraction form
    527,191.64/727,701.90 = 320,459.30/x
  3. Step 3: Cross multiply
    527,191.64x = 727,701.90 × 320,459.30
  4. Step 4: Simplify right side
    527,191.64x = 233,198,841,482.67
  5. Step 5: Solve for x
    x = 233,198,841,482.67/527,191.64
  6. Step 6: Final answer
    x = 442,341.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.