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Finding the Fourth Proportional to 409,740.24, 614,603.04 and 156,952.20

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Solution

The fourth proportional to 409,740.24, 614,603.04 and 156,952.20 is: 235,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,740.24 : 614,603.04 = 156,952.20 : x
  2. Step 2: Convert to fraction form
    409,740.24/614,603.04 = 156,952.20/x
  3. Step 3: Cross multiply
    409,740.24x = 614,603.04 × 156,952.20
  4. Step 4: Simplify right side
    409,740.24x = 96,463,299,254.69
  5. Step 5: Solve for x
    x = 96,463,299,254.69/409,740.24
  6. Step 6: Final answer
    x = 235,425.50

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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.