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Finding the Fourth Proportional to 410,027.76, 615,271.28 and 173,547.44

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Solution

The fourth proportional to 410,027.76, 615,271.28 and 173,547.44 is: 260,418.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,027.76 : 615,271.28 = 173,547.44 : x
  2. Step 2: Convert to fraction form
    410,027.76/615,271.28 = 173,547.44/x
  3. Step 3: Cross multiply
    410,027.76x = 615,271.28 × 173,547.44
  4. Step 4: Simplify right side
    410,027.76x = 106,778,755,549.52
  5. Step 5: Solve for x
    x = 106,778,755,549.52/410,027.76
  6. Step 6: Final answer
    x = 260,418.36

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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.