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Finding the Fourth Proportional to 295,265.84, 442,832.52 and 84,856.88

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Solution

The fourth proportional to 295,265.84, 442,832.52 and 84,856.88 is: 127,266.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,265.84 : 442,832.52 = 84,856.88 : x
  2. Step 2: Convert to fraction form
    295,265.84/442,832.52 = 84,856.88/x
  3. Step 3: Cross multiply
    295,265.84x = 442,832.52 × 84,856.88
  4. Step 4: Simplify right side
    295,265.84x = 37,577,386,009.74
  5. Step 5: Solve for x
    x = 37,577,386,009.74/295,265.84
  6. Step 6: Final answer
    x = 127,266.28

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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.