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Finding the Fourth Proportional to 342,722.10, 513,685.71 and 202,598.58

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Solution

The fourth proportional to 342,722.10, 513,685.71 and 202,598.58 is: 303,662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,722.10 : 513,685.71 = 202,598.58 : x
  2. Step 2: Convert to fraction form
    342,722.10/513,685.71 = 202,598.58/x
  3. Step 3: Cross multiply
    342,722.10x = 513,685.71 × 202,598.58
  4. Step 4: Simplify right side
    342,722.10x = 104,071,995,412.29
  5. Step 5: Solve for x
    x = 104,071,995,412.29/342,722.10
  6. Step 6: Final answer
    x = 303,662.93

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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.