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Finding the Fourth Proportional to 342,041.32, 512,595.42 and 208,968.04

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Solution

The fourth proportional to 342,041.32, 512,595.42 and 208,968.04 is: 313,167.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,041.32 : 512,595.42 = 208,968.04 : x
  2. Step 2: Convert to fraction form
    342,041.32/512,595.42 = 208,968.04/x
  3. Step 3: Cross multiply
    342,041.32x = 512,595.42 × 208,968.04
  4. Step 4: Simplify right side
    342,041.32x = 107,116,060,230.38
  5. Step 5: Solve for x
    x = 107,116,060,230.38/342,041.32
  6. Step 6: Final answer
    x = 313,167.02

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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.