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Finding the Fourth Proportional to 578,294, 798,538.20 and 363,793.04

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Solution

The fourth proportional to 578,294, 798,538.20 and 363,793.04 is: 502,344.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,294 : 798,538.20 = 363,793.04 : x
  2. Step 2: Convert to fraction form
    578,294/798,538.20 = 363,793.04/x
  3. Step 3: Cross multiply
    578,294x = 798,538.20 × 363,793.04
  4. Step 4: Simplify right side
    578,294x = 290,502,639,334.13
  5. Step 5: Solve for x
    x = 290,502,639,334.13/578,294
  6. Step 6: Final answer
    x = 502,344.20

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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.