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Finding the Fourth Proportional to 342,423.48, 513,298.26 and 200,088.12

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Solution

The fourth proportional to 342,423.48, 513,298.26 and 200,088.12 is: 299,935.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,423.48 : 513,298.26 = 200,088.12 : x
  2. Step 2: Convert to fraction form
    342,423.48/513,298.26 = 200,088.12/x
  3. Step 3: Cross multiply
    342,423.48x = 513,298.26 × 200,088.12
  4. Step 4: Simplify right side
    342,423.48x = 102,704,883,842.67
  5. Step 5: Solve for x
    x = 102,704,883,842.67/342,423.48
  6. Step 6: Final answer
    x = 299,935.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.