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Finding the Fourth Proportional to 589,296.61, 813,207.75 and 360,237.52

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Solution

The fourth proportional to 589,296.61, 813,207.75 and 360,237.52 is: 497,114.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,296.61 : 813,207.75 = 360,237.52 : x
  2. Step 2: Convert to fraction form
    589,296.61/813,207.75 = 360,237.52/x
  3. Step 3: Cross multiply
    589,296.61x = 813,207.75 × 360,237.52
  4. Step 4: Simplify right side
    589,296.61x = 292,947,943,104.78
  5. Step 5: Solve for x
    x = 292,947,943,104.78/589,296.61
  6. Step 6: Final answer
    x = 497,114.59

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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.