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Finding the Fourth Proportional to 525,678.65, 725,436.10 and 283,961.15

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Solution

The fourth proportional to 525,678.65, 725,436.10 and 283,961.15 is: 391,866.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,678.65 : 725,436.10 = 283,961.15 : x
  2. Step 2: Convert to fraction form
    525,678.65/725,436.10 = 283,961.15/x
  3. Step 3: Cross multiply
    525,678.65x = 725,436.10 × 283,961.15
  4. Step 4: Simplify right side
    525,678.65x = 205,995,669,207.52
  5. Step 5: Solve for x
    x = 205,995,669,207.52/525,678.65
  6. Step 6: Final answer
    x = 391,866.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.