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Finding the Fourth Proportional to 610,438.20, 916,094.70 and 343,915.80

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Solution

The fourth proportional to 610,438.20, 916,094.70 and 343,915.80 is: 516,120.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,438.20 : 916,094.70 = 343,915.80 : x
  2. Step 2: Convert to fraction form
    610,438.20/916,094.70 = 343,915.80/x
  3. Step 3: Cross multiply
    610,438.20x = 916,094.70 × 343,915.80
  4. Step 4: Simplify right side
    610,438.20x = 315,059,441,626.26
  5. Step 5: Solve for x
    x = 315,059,441,626.26/610,438.20
  6. Step 6: Final answer
    x = 516,120.13

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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.