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Finding the Fourth Proportional to 649,568, 974,236.98 and 176,290.16

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Solution

The fourth proportional to 649,568, 974,236.98 and 176,290.16 is: 264,404.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,568 : 974,236.98 = 176,290.16 : x
  2. Step 2: Convert to fraction form
    649,568/974,236.98 = 176,290.16/x
  3. Step 3: Cross multiply
    649,568x = 974,236.98 × 176,290.16
  4. Step 4: Simplify right side
    649,568x = 171,748,393,082.12
  5. Step 5: Solve for x
    x = 171,748,393,082.12/649,568
  6. Step 6: Final answer
    x = 264,404.02

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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.