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Finding the Fourth Proportional to 649,569, 974,238.48 and 176,291.16

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Solution

The fourth proportional to 649,569, 974,238.48 and 176,291.16 is: 264,405.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,569 : 974,238.48 = 176,291.16 : x
  2. Step 2: Convert to fraction form
    649,569/974,238.48 = 176,291.16/x
  3. Step 3: Cross multiply
    649,569x = 974,238.48 × 176,291.16
  4. Step 4: Simplify right side
    649,569x = 171,749,631,755.84
  5. Step 5: Solve for x
    x = 171,749,631,755.84/649,569
  6. Step 6: Final answer
    x = 264,405.52

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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.