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Finding the Fourth Proportional to 465,419.70, 697,714.02 and 199,043.10

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Solution

The fourth proportional to 465,419.70, 697,714.02 and 199,043.10 is: 298,386.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,419.70 : 697,714.02 = 199,043.10 : x
  2. Step 2: Convert to fraction form
    465,419.70/697,714.02 = 199,043.10/x
  3. Step 3: Cross multiply
    465,419.70x = 697,714.02 × 199,043.10
  4. Step 4: Simplify right side
    465,419.70x = 138,875,161,454.26
  5. Step 5: Solve for x
    x = 138,875,161,454.26/465,419.70
  6. Step 6: Final answer
    x = 298,386.94

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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.