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Finding the Fourth Proportional to 410,834.40, 615,085.20 and 410,834.40

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Solution

The fourth proportional to 410,834.40, 615,085.20 and 410,834.40 is: 615,085.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,834.40 : 615,085.20 = 410,834.40 : x
  2. Step 2: Convert to fraction form
    410,834.40/615,085.20 = 410,834.40/x
  3. Step 3: Cross multiply
    410,834.40x = 615,085.20 × 410,834.40
  4. Step 4: Simplify right side
    410,834.40x = 252,698,159,090.88
  5. Step 5: Solve for x
    x = 252,698,159,090.88/410,834.40
  6. Step 6: Final answer
    x = 615,085.20

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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.