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Finding the Fourth Proportional to 369,848.88, 510,386.48 and 206,507.92

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Solution

The fourth proportional to 369,848.88, 510,386.48 and 206,507.92 is: 284,978.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,848.88 : 510,386.48 = 206,507.92 : x
  2. Step 2: Convert to fraction form
    369,848.88/510,386.48 = 206,507.92/x
  3. Step 3: Cross multiply
    369,848.88x = 510,386.48 × 206,507.92
  4. Step 4: Simplify right side
    369,848.88x = 105,398,850,380.92
  5. Step 5: Solve for x
    x = 105,398,850,380.92/369,848.88
  6. Step 6: Final answer
    x = 284,978.15

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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.