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Finding the Fourth Proportional to 409,850.10, 614,775.15 and 232,703.10

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Solution

The fourth proportional to 409,850.10, 614,775.15 and 232,703.10 is: 349,054.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,850.10 : 614,775.15 = 232,703.10 : x
  2. Step 2: Convert to fraction form
    409,850.10/614,775.15 = 232,703.10/x
  3. Step 3: Cross multiply
    409,850.10x = 614,775.15 × 232,703.10
  4. Step 4: Simplify right side
    409,850.10x = 143,060,083,207.97
  5. Step 5: Solve for x
    x = 143,060,083,207.97/409,850.10
  6. Step 6: Final answer
    x = 349,054.65

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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.