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Finding the Fourth Proportional to 498,281.85, 747,422.78 and 470,725.65

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Solution

The fourth proportional to 498,281.85, 747,422.78 and 470,725.65 is: 706,088.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,281.85 : 747,422.78 = 470,725.65 : x
  2. Step 2: Convert to fraction form
    498,281.85/747,422.78 = 470,725.65/x
  3. Step 3: Cross multiply
    498,281.85x = 747,422.78 × 470,725.65
  4. Step 4: Simplify right side
    498,281.85x = 351,831,071,586.68
  5. Step 5: Solve for x
    x = 351,831,071,586.68/498,281.85
  6. Step 6: Final answer
    x = 706,088.48

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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.