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Finding the Fourth Proportional to 410,124.30, 615,186.45 and 223,500.30

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Solution

The fourth proportional to 410,124.30, 615,186.45 and 223,500.30 is: 335,250.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,124.30 : 615,186.45 = 223,500.30 : x
  2. Step 2: Convert to fraction form
    410,124.30/615,186.45 = 223,500.30/x
  3. Step 3: Cross multiply
    410,124.30x = 615,186.45 × 223,500.30
  4. Step 4: Simplify right side
    410,124.30x = 137,494,356,130.94
  5. Step 5: Solve for x
    x = 137,494,356,130.94/410,124.30
  6. Step 6: Final answer
    x = 335,250.45

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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.