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Finding the Fourth Proportional to 410,106.40, 615,159.60 and 283,479.10

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Solution

The fourth proportional to 410,106.40, 615,159.60 and 283,479.10 is: 425,218.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,106.40 : 615,159.60 = 283,479.10 : x
  2. Step 2: Convert to fraction form
    410,106.40/615,159.60 = 283,479.10/x
  3. Step 3: Cross multiply
    410,106.40x = 615,159.60 × 283,479.10
  4. Step 4: Simplify right side
    410,106.40x = 174,384,889,764.36
  5. Step 5: Solve for x
    x = 174,384,889,764.36/410,106.40
  6. Step 6: Final answer
    x = 425,218.65

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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.