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Finding the Fourth Proportional to 411,963.40, 577,578.20 and 411,963.40

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Solution

The fourth proportional to 411,963.40, 577,578.20 and 411,963.40 is: 577,578.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,963.40 : 577,578.20 = 411,963.40 : x
  2. Step 2: Convert to fraction form
    411,963.40/577,578.20 = 411,963.40/x
  3. Step 3: Cross multiply
    411,963.40x = 577,578.20 × 411,963.40
  4. Step 4: Simplify right side
    411,963.40x = 237,941,079,037.88
  5. Step 5: Solve for x
    x = 237,941,079,037.88/411,963.40
  6. Step 6: Final answer
    x = 577,578.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.