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Finding the Fourth Proportional to 410,721.30, 615,419.55 and 232,698.90

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Solution

The fourth proportional to 410,721.30, 615,419.55 and 232,698.90 is: 348,673.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,721.30 : 615,419.55 = 232,698.90 : x
  2. Step 2: Convert to fraction form
    410,721.30/615,419.55 = 232,698.90/x
  3. Step 3: Cross multiply
    410,721.30x = 615,419.55 × 232,698.90
  4. Step 4: Simplify right side
    410,721.30x = 143,207,452,323.50
  5. Step 5: Solve for x
    x = 143,207,452,323.50/410,721.30
  6. Step 6: Final answer
    x = 348,673.06

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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.