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Finding the Fourth Proportional to 409,669.84, 614,616.26 and 125,354.08

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Solution

The fourth proportional to 409,669.84, 614,616.26 and 125,354.08 is: 188,065.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,669.84 : 614,616.26 = 125,354.08 : x
  2. Step 2: Convert to fraction form
    409,669.84/614,616.26 = 125,354.08/x
  3. Step 3: Cross multiply
    409,669.84x = 614,616.26 × 125,354.08
  4. Step 4: Simplify right side
    409,669.84x = 77,044,655,825.34
  5. Step 5: Solve for x
    x = 77,044,655,825.34/409,669.84
  6. Step 6: Final answer
    x = 188,065.24

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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.