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Finding the Fourth Proportional to 544,765.32, 817,151.52 and 189,786

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Solution

The fourth proportional to 544,765.32, 817,151.52 and 189,786 is: 284,680.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,765.32 : 817,151.52 = 189,786 : x
  2. Step 2: Convert to fraction form
    544,765.32/817,151.52 = 189,786/x
  3. Step 3: Cross multiply
    544,765.32x = 817,151.52 × 189,786
  4. Step 4: Simplify right side
    544,765.32x = 155,083,918,374.72
  5. Step 5: Solve for x
    x = 155,083,918,374.72/544,765.32
  6. Step 6: Final answer
    x = 284,680.23

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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.