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Finding the Fourth Proportional to 602,719.80, 904,079.70 and 228,742.80

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Solution

The fourth proportional to 602,719.80, 904,079.70 and 228,742.80 is: 343,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,719.80 : 904,079.70 = 228,742.80 : x
  2. Step 2: Convert to fraction form
    602,719.80/904,079.70 = 228,742.80/x
  3. Step 3: Cross multiply
    602,719.80x = 904,079.70 × 228,742.80
  4. Step 4: Simplify right side
    602,719.80x = 206,801,722,001.16
  5. Step 5: Solve for x
    x = 206,801,722,001.16/602,719.80
  6. Step 6: Final answer
    x = 343,114.20

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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.