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Finding the Fourth Proportional to 589,292.61, 813,202.23 and 360,233.52

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Solution

The fourth proportional to 589,292.61, 813,202.23 and 360,233.52 is: 497,109.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,292.61 : 813,202.23 = 360,233.52 : x
  2. Step 2: Convert to fraction form
    589,292.61/813,202.23 = 360,233.52/x
  3. Step 3: Cross multiply
    589,292.61x = 813,202.23 × 360,233.52
  4. Step 4: Simplify right side
    589,292.61x = 292,942,701,784.75
  5. Step 5: Solve for x
    x = 292,942,701,784.75/589,292.61
  6. Step 6: Final answer
    x = 497,109.07

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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.