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Finding the Fourth Proportional to 410,101.65, 615,152.48 and 354,005.10

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Solution

The fourth proportional to 410,101.65, 615,152.48 and 354,005.10 is: 531,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,101.65 : 615,152.48 = 354,005.10 : x
  2. Step 2: Convert to fraction form
    410,101.65/615,152.48 = 354,005.10/x
  3. Step 3: Cross multiply
    410,101.65x = 615,152.48 × 354,005.10
  4. Step 4: Simplify right side
    410,101.65x = 217,767,113,427.62
  5. Step 5: Solve for x
    x = 217,767,113,427.62/410,101.65
  6. Step 6: Final answer
    x = 531,007.65

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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.