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Finding the Fourth Proportional to 461,714.40, 692,053.20 and 195,429.60

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Solution

The fourth proportional to 461,714.40, 692,053.20 and 195,429.60 is: 292,924.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,714.40 : 692,053.20 = 195,429.60 : x
  2. Step 2: Convert to fraction form
    461,714.40/692,053.20 = 195,429.60/x
  3. Step 3: Cross multiply
    461,714.40x = 692,053.20 × 195,429.60
  4. Step 4: Simplify right side
    461,714.40x = 135,247,680,054.72
  5. Step 5: Solve for x
    x = 135,247,680,054.72/461,714.40
  6. Step 6: Final answer
    x = 292,924.98

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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.