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Finding the Fourth Proportional to 410,486, 615,572.06 and 197,193.14

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Solution

The fourth proportional to 410,486, 615,572.06 and 197,193.14 is: 295,714.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,486 : 615,572.06 = 197,193.14 : x
  2. Step 2: Convert to fraction form
    410,486/615,572.06 = 197,193.14/x
  3. Step 3: Cross multiply
    410,486x = 615,572.06 × 197,193.14
  4. Step 4: Simplify right side
    410,486x = 121,386,587,407.67
  5. Step 5: Solve for x
    x = 121,386,587,407.67/410,486
  6. Step 6: Final answer
    x = 295,714.32

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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.