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Finding the Fourth Proportional to 633,049.80, 873,619.14 and 346,565.16

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Solution

The fourth proportional to 633,049.80, 873,619.14 and 346,565.16 is: 478,265.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,049.80 : 873,619.14 = 346,565.16 : x
  2. Step 2: Convert to fraction form
    633,049.80/873,619.14 = 346,565.16/x
  3. Step 3: Cross multiply
    633,049.80x = 873,619.14 × 346,565.16
  4. Step 4: Simplify right side
    633,049.80x = 302,765,957,033.16
  5. Step 5: Solve for x
    x = 302,765,957,033.16/633,049.80
  6. Step 6: Final answer
    x = 478,265.62

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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.