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Finding the Fourth Proportional to 416,031.84, 574,124.16 and 225,045.24

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Solution

The fourth proportional to 416,031.84, 574,124.16 and 225,045.24 is: 310,562.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,031.84 : 574,124.16 = 225,045.24 : x
  2. Step 2: Convert to fraction form
    416,031.84/574,124.16 = 225,045.24/x
  3. Step 3: Cross multiply
    416,031.84x = 574,124.16 × 225,045.24
  4. Step 4: Simplify right side
    416,031.84x = 129,203,909,377.00
  5. Step 5: Solve for x
    x = 129,203,909,377.00/416,031.84
  6. Step 6: Final answer
    x = 310,562.55

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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.