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Finding the Fourth Proportional to 589,338.68, 813,386.02 and 347,681.24

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Solution

The fourth proportional to 589,338.68, 813,386.02 and 347,681.24 is: 479,858.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,338.68 : 813,386.02 = 347,681.24 : x
  2. Step 2: Convert to fraction form
    589,338.68/813,386.02 = 347,681.24/x
  3. Step 3: Cross multiply
    589,338.68x = 813,386.02 × 347,681.24
  4. Step 4: Simplify right side
    589,338.68x = 282,799,060,032.27
  5. Step 5: Solve for x
    x = 282,799,060,032.27/589,338.68
  6. Step 6: Final answer
    x = 479,858.30

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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.