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Finding the Fourth Proportional to 413,068.16, 570,000.80 and 231,755.20

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Solution

The fourth proportional to 413,068.16, 570,000.80 and 231,755.20 is: 319,803.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,068.16 : 570,000.80 = 231,755.20 : x
  2. Step 2: Convert to fraction form
    413,068.16/570,000.80 = 231,755.20/x
  3. Step 3: Cross multiply
    413,068.16x = 570,000.80 × 231,755.20
  4. Step 4: Simplify right side
    413,068.16x = 132,100,649,404.16
  5. Step 5: Solve for x
    x = 132,100,649,404.16/413,068.16
  6. Step 6: Final answer
    x = 319,803.51

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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.