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Finding the Fourth Proportional to 410,427.51, 615,643.31 and 185,524.63

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Solution

The fourth proportional to 410,427.51, 615,643.31 and 185,524.63 is: 278,287.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,427.51 : 615,643.31 = 185,524.63 : x
  2. Step 2: Convert to fraction form
    410,427.51/615,643.31 = 185,524.63/x
  3. Step 3: Cross multiply
    410,427.51x = 615,643.31 × 185,524.63
  4. Step 4: Simplify right side
    410,427.51x = 114,216,995,702.64
  5. Step 5: Solve for x
    x = 114,216,995,702.64/410,427.51
  6. Step 6: Final answer
    x = 278,287.87

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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.