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Finding the Fourth Proportional to 412,862.10, 577,307.10 and 412,862.10

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Solution

The fourth proportional to 412,862.10, 577,307.10 and 412,862.10 is: 577,307.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,862.10 : 577,307.10 = 412,862.10 : x
  2. Step 2: Convert to fraction form
    412,862.10/577,307.10 = 412,862.10/x
  3. Step 3: Cross multiply
    412,862.10x = 577,307.10 × 412,862.10
  4. Step 4: Simplify right side
    412,862.10x = 238,348,221,650.91
  5. Step 5: Solve for x
    x = 238,348,221,650.91/412,862.10
  6. Step 6: Final answer
    x = 577,307.10

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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.