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Finding the Fourth Proportional to 410,143.10, 615,214.65 and 292,045.10

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Solution

The fourth proportional to 410,143.10, 615,214.65 and 292,045.10 is: 438,067.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,143.10 : 615,214.65 = 292,045.10 : x
  2. Step 2: Convert to fraction form
    410,143.10/615,214.65 = 292,045.10/x
  3. Step 3: Cross multiply
    410,143.10x = 615,214.65 × 292,045.10
  4. Step 4: Simplify right side
    410,143.10x = 179,670,423,980.72
  5. Step 5: Solve for x
    x = 179,670,423,980.72/410,143.10
  6. Step 6: Final answer
    x = 438,067.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.