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Finding the Fourth Proportional to 513,445.23, 708,559.04 and 283,990.46

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Solution

The fourth proportional to 513,445.23, 708,559.04 and 283,990.46 is: 391,909.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,445.23 : 708,559.04 = 283,990.46 : x
  2. Step 2: Convert to fraction form
    513,445.23/708,559.04 = 283,990.46/x
  3. Step 3: Cross multiply
    513,445.23x = 708,559.04 × 283,990.46
  4. Step 4: Simplify right side
    513,445.23x = 201,224,004,873.94
  5. Step 5: Solve for x
    x = 201,224,004,873.94/513,445.23
  6. Step 6: Final answer
    x = 391,909.39

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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.