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Finding the Fourth Proportional to 589,149.39, 813,118.50 and 347,458.53

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Solution

The fourth proportional to 589,149.39, 813,118.50 and 347,458.53 is: 479,547.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,149.39 : 813,118.50 = 347,458.53 : x
  2. Step 2: Convert to fraction form
    589,149.39/813,118.50 = 347,458.53/x
  3. Step 3: Cross multiply
    589,149.39x = 813,118.50 × 347,458.53
  4. Step 4: Simplify right side
    589,149.39x = 282,524,958,725.81
  5. Step 5: Solve for x
    x = 282,524,958,725.81/589,149.39
  6. Step 6: Final answer
    x = 479,547.23

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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.