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Finding the Fourth Proportional to 410,424.30, 615,479.61 and 197,131.32

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Solution

The fourth proportional to 410,424.30, 615,479.61 and 197,131.32 is: 295,621.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,424.30 : 615,479.61 = 197,131.32 : x
  2. Step 2: Convert to fraction form
    410,424.30/615,479.61 = 197,131.32/x
  3. Step 3: Cross multiply
    410,424.30x = 615,479.61 × 197,131.32
  4. Step 4: Simplify right side
    410,424.30x = 121,330,307,952.39
  5. Step 5: Solve for x
    x = 121,330,307,952.39/410,424.30
  6. Step 6: Final answer
    x = 295,621.65

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1.5x scale

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.