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Finding the Fourth Proportional to 412,264.40, 577,999.60 and 412,264.40

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Solution

The fourth proportional to 412,264.40, 577,999.60 and 412,264.40 is: 577,999.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,264.40 : 577,999.60 = 412,264.40 : x
  2. Step 2: Convert to fraction form
    412,264.40/577,999.60 = 412,264.40/x
  3. Step 3: Cross multiply
    412,264.40x = 577,999.60 × 412,264.40
  4. Step 4: Simplify right side
    412,264.40x = 238,288,658,294.24
  5. Step 5: Solve for x
    x = 238,288,658,294.24/412,264.40
  6. Step 6: Final answer
    x = 577,999.60

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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.