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Finding the Fourth Proportional to 461,714.60, 692,831.10 and 195,429.80

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Solution

The fourth proportional to 461,714.60, 692,831.10 and 195,429.80 is: 293,254.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,714.60 : 692,831.10 = 195,429.80 : x
  2. Step 2: Convert to fraction form
    461,714.60/692,831.10 = 195,429.80/x
  3. Step 3: Cross multiply
    461,714.60x = 692,831.10 × 195,429.80
  4. Step 4: Simplify right side
    461,714.60x = 135,399,843,306.78
  5. Step 5: Solve for x
    x = 135,399,843,306.78/461,714.60
  6. Step 6: Final answer
    x = 293,254.41

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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.