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Finding the Fourth Proportional to 589,052.80, 812,881.20 and 347,345.56

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Solution

The fourth proportional to 589,052.80, 812,881.20 and 347,345.56 is: 479,329.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,052.80 : 812,881.20 = 347,345.56 : x
  2. Step 2: Convert to fraction form
    589,052.80/812,881.20 = 347,345.56/x
  3. Step 3: Cross multiply
    589,052.80x = 812,881.20 × 347,345.56
  4. Step 4: Simplify right side
    589,052.80x = 282,350,675,627.47
  5. Step 5: Solve for x
    x = 282,350,675,627.47/589,052.80
  6. Step 6: Final answer
    x = 479,329.99

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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.