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Finding the Fourth Proportional to 700,578.80, 966,822.60 and 414,344.24

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Solution

The fourth proportional to 700,578.80, 966,822.60 and 414,344.24 is: 571,809.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,578.80 : 966,822.60 = 414,344.24 : x
  2. Step 2: Convert to fraction form
    700,578.80/966,822.60 = 414,344.24/x
  3. Step 3: Cross multiply
    700,578.80x = 966,822.60 × 414,344.24
  4. Step 4: Simplify right side
    700,578.80x = 400,597,375,411.82
  5. Step 5: Solve for x
    x = 400,597,375,411.82/700,578.80
  6. Step 6: Final answer
    x = 571,809.16

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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.