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Finding the Fourth Proportional to 410,313.40, 615,470.10 and 189,129.40

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Solution

The fourth proportional to 410,313.40, 615,470.10 and 189,129.40 is: 283,694.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,313.40 : 615,470.10 = 189,129.40 : x
  2. Step 2: Convert to fraction form
    410,313.40/615,470.10 = 189,129.40/x
  3. Step 3: Cross multiply
    410,313.40x = 615,470.10 × 189,129.40
  4. Step 4: Simplify right side
    410,313.40x = 116,403,490,730.94
  5. Step 5: Solve for x
    x = 116,403,490,730.94/410,313.40
  6. Step 6: Final answer
    x = 283,694.10

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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.