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Finding the Fourth Proportional to 649,539.64, 974,506.29 and 294,458.32

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Solution

The fourth proportional to 649,539.64, 974,506.29 and 294,458.32 is: 441,776.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,539.64 : 974,506.29 = 294,458.32 : x
  2. Step 2: Convert to fraction form
    649,539.64/974,506.29 = 294,458.32/x
  3. Step 3: Cross multiply
    649,539.64x = 974,506.29 × 294,458.32
  4. Step 4: Simplify right side
    649,539.64x = 286,951,484,982.83
  5. Step 5: Solve for x
    x = 286,951,484,982.83/649,539.64
  6. Step 6: Final answer
    x = 441,776.71

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Why These Related Problems?

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