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Finding the Fourth Proportional to 410,212.80, 615,664.80 and 200,030.40

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Solution

The fourth proportional to 410,212.80, 615,664.80 and 200,030.40 is: 300,214.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,212.80 : 615,664.80 = 200,030.40 : x
  2. Step 2: Convert to fraction form
    410,212.80/615,664.80 = 200,030.40/x
  3. Step 3: Cross multiply
    410,212.80x = 615,664.80 × 200,030.40
  4. Step 4: Simplify right side
    410,212.80x = 123,151,676,209.92
  5. Step 5: Solve for x
    x = 123,151,676,209.92/410,212.80
  6. Step 6: Final answer
    x = 300,214.12

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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.