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Finding the Fourth Proportional to 473,151.80, 651,292.16 and 412,615.64

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Solution

The fourth proportional to 473,151.80, 651,292.16 and 412,615.64 is: 567,964.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,151.80 : 651,292.16 = 412,615.64 : x
  2. Step 2: Convert to fraction form
    473,151.80/651,292.16 = 412,615.64/x
  3. Step 3: Cross multiply
    473,151.80x = 651,292.16 × 412,615.64
  4. Step 4: Simplify right side
    473,151.80x = 268,733,331,425.38
  5. Step 5: Solve for x
    x = 268,733,331,425.38/473,151.80
  6. Step 6: Final answer
    x = 567,964.30

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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.