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Finding the Fourth Proportional to 410,335.88, 614,242.54 and 349,801.40

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Solution

The fourth proportional to 410,335.88, 614,242.54 and 349,801.40 is: 523,626.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,335.88 : 614,242.54 = 349,801.40 : x
  2. Step 2: Convert to fraction form
    410,335.88/614,242.54 = 349,801.40/x
  3. Step 3: Cross multiply
    410,335.88x = 614,242.54 × 349,801.40
  4. Step 4: Simplify right side
    410,335.88x = 214,862,902,404.41
  5. Step 5: Solve for x
    x = 214,862,902,404.41/410,335.88
  6. Step 6: Final answer
    x = 523,626.90

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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.