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Finding the Fourth Proportional to 649,527.30, 974,438.55 and 294,642.90

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Solution

The fourth proportional to 649,527.30, 974,438.55 and 294,642.90 is: 442,031.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,527.30 : 974,438.55 = 294,642.90 : x
  2. Step 2: Convert to fraction form
    649,527.30/974,438.55 = 294,642.90/x
  3. Step 3: Cross multiply
    649,527.30x = 974,438.55 × 294,642.90
  4. Step 4: Simplify right side
    649,527.30x = 287,111,400,243.80
  5. Step 5: Solve for x
    x = 287,111,400,243.80/649,527.30
  6. Step 6: Final answer
    x = 442,031.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.