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Finding the Fourth Proportional to 410,144.10, 615,216.15 and 292,046.10

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Solution

The fourth proportional to 410,144.10, 615,216.15 and 292,046.10 is: 438,069.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,144.10 : 615,216.15 = 292,046.10 : x
  2. Step 2: Convert to fraction form
    410,144.10/615,216.15 = 292,046.10/x
  3. Step 3: Cross multiply
    410,144.10x = 615,216.15 × 292,046.10
  4. Step 4: Simplify right side
    410,144.10x = 179,671,477,264.52
  5. Step 5: Solve for x
    x = 179,671,477,264.52/410,144.10
  6. Step 6: Final answer
    x = 438,069.15

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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.