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Finding the Fourth Proportional to 527,409.79, 727,810.54 and 309,614.99

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Solution

The fourth proportional to 527,409.79, 727,810.54 and 309,614.99 is: 427,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,409.79 : 727,810.54 = 309,614.99 : x
  2. Step 2: Convert to fraction form
    527,409.79/727,810.54 = 309,614.99/x
  3. Step 3: Cross multiply
    527,409.79x = 727,810.54 × 309,614.99
  4. Step 4: Simplify right side
    527,409.79x = 225,341,053,615.63
  5. Step 5: Solve for x
    x = 225,341,053,615.63/527,409.79
  6. Step 6: Final answer
    x = 427,259.90

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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.