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Finding the Fourth Proportional to 453,045.60, 679,957.20 and 200,714.40

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Solution

The fourth proportional to 453,045.60, 679,957.20 and 200,714.40 is: 301,243.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,045.60 : 679,957.20 = 200,714.40 : x
  2. Step 2: Convert to fraction form
    453,045.60/679,957.20 = 200,714.40/x
  3. Step 3: Cross multiply
    453,045.60x = 679,957.20 × 200,714.40
  4. Step 4: Simplify right side
    453,045.60x = 136,477,201,423.68
  5. Step 5: Solve for x
    x = 136,477,201,423.68/453,045.60
  6. Step 6: Final answer
    x = 301,243.85

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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.