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Finding the Fourth Proportional to 589,218.31, 813,098.37 and 360,159.12

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Solution

The fourth proportional to 589,218.31, 813,098.37 and 360,159.12 is: 497,005.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,218.31 : 813,098.37 = 360,159.12 : x
  2. Step 2: Convert to fraction form
    589,218.31/813,098.37 = 360,159.12/x
  3. Step 3: Cross multiply
    589,218.31x = 813,098.37 × 360,159.12
  4. Step 4: Simplify right side
    589,218.31x = 292,844,793,412.63
  5. Step 5: Solve for x
    x = 292,844,793,412.63/589,218.31
  6. Step 6: Final answer
    x = 497,005.59

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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.