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Finding the Fourth Proportional to 649,565, 974,232.48 and 176,287.16

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Solution

The fourth proportional to 649,565, 974,232.48 and 176,287.16 is: 264,399.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,565 : 974,232.48 = 176,287.16 : x
  2. Step 2: Convert to fraction form
    649,565/974,232.48 = 176,287.16/x
  3. Step 3: Cross multiply
    649,565x = 974,232.48 × 176,287.16
  4. Step 4: Simplify right side
    649,565x = 171,744,677,078.96
  5. Step 5: Solve for x
    x = 171,744,677,078.96/649,565
  6. Step 6: Final answer
    x = 264,399.52

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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.