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Finding the Fourth Proportional to 413,098.06, 570,131.99 and 231,820.71

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Solution

The fourth proportional to 413,098.06, 570,131.99 and 231,820.71 is: 319,944.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,098.06 : 570,131.99 = 231,820.71 : x
  2. Step 2: Convert to fraction form
    413,098.06/570,131.99 = 231,820.71/x
  3. Step 3: Cross multiply
    413,098.06x = 570,131.99 × 231,820.71
  4. Step 4: Simplify right side
    413,098.06x = 132,168,402,543.23
  5. Step 5: Solve for x
    x = 132,168,402,543.23/413,098.06
  6. Step 6: Final answer
    x = 319,944.38

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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.