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Finding the Fourth Proportional to 648,522.56, 974,260.08 and 469,161.22

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Solution

The fourth proportional to 648,522.56, 974,260.08 and 469,161.22 is: 704,809.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,522.56 : 974,260.08 = 469,161.22 : x
  2. Step 2: Convert to fraction form
    648,522.56/974,260.08 = 469,161.22/x
  3. Step 3: Cross multiply
    648,522.56x = 974,260.08 × 469,161.22
  4. Step 4: Simplify right side
    648,522.56x = 457,085,047,730.10
  5. Step 5: Solve for x
    x = 457,085,047,730.10/648,522.56
  6. Step 6: Final answer
    x = 704,809.79

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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.