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Finding the Fourth Proportional to 410,162.80, 614,581.80 and 232,140.40

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Solution

The fourth proportional to 410,162.80, 614,581.80 and 232,140.40 is: 347,835.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,162.80 : 614,581.80 = 232,140.40 : x
  2. Step 2: Convert to fraction form
    410,162.80/614,581.80 = 232,140.40/x
  3. Step 3: Cross multiply
    410,162.80x = 614,581.80 × 232,140.40
  4. Step 4: Simplify right side
    410,162.80x = 142,669,264,884.72
  5. Step 5: Solve for x
    x = 142,669,264,884.72/410,162.80
  6. Step 6: Final answer
    x = 347,835.70

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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.