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Finding the Fourth Proportional to 700,576.80, 966,819.84 and 414,342.24

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Solution

The fourth proportional to 700,576.80, 966,819.84 and 414,342.24 is: 571,806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,576.80 : 966,819.84 = 414,342.24 : x
  2. Step 2: Convert to fraction form
    700,576.80/966,819.84 = 414,342.24/x
  3. Step 3: Cross multiply
    700,576.80x = 966,819.84 × 414,342.24
  4. Step 4: Simplify right side
    700,576.80x = 400,594,298,182.04
  5. Step 5: Solve for x
    x = 400,594,298,182.04/700,576.80
  6. Step 6: Final answer
    x = 571,806.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.