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Finding the Fourth Proportional to 410,222.80, 615,334.20 and 232,661.20

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Solution

The fourth proportional to 410,222.80, 615,334.20 and 232,661.20 is: 348,991.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,222.80 : 615,334.20 = 232,661.20 : x
  2. Step 2: Convert to fraction form
    410,222.80/615,334.20 = 232,661.20/x
  3. Step 3: Cross multiply
    410,222.80x = 615,334.20 × 232,661.20
  4. Step 4: Simplify right side
    410,222.80x = 143,164,393,373.04
  5. Step 5: Solve for x
    x = 143,164,393,373.04/410,222.80
  6. Step 6: Final answer
    x = 348,991.80

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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.