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Finding the Fourth Proportional to 310,587.49, 465,891.59 and 85,929.10

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Solution

The fourth proportional to 310,587.49, 465,891.59 and 85,929.10 is: 128,896.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,587.49 : 465,891.59 = 85,929.10 : x
  2. Step 2: Convert to fraction form
    310,587.49/465,891.59 = 85,929.10/x
  3. Step 3: Cross multiply
    310,587.49x = 465,891.59 × 85,929.10
  4. Step 4: Simplify right side
    310,587.49x = 40,033,642,267.17
  5. Step 5: Solve for x
    x = 40,033,642,267.17/310,587.49
  6. Step 6: Final answer
    x = 128,896.51

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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.