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Finding the Fourth Proportional to 665,446.22, 998,686.95 and 464,460.92

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Solution

The fourth proportional to 665,446.22, 998,686.95 and 464,460.92 is: 697,052.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,446.22 : 998,686.95 = 464,460.92 : x
  2. Step 2: Convert to fraction form
    665,446.22/998,686.95 = 464,460.92/x
  3. Step 3: Cross multiply
    665,446.22x = 998,686.95 × 464,460.92
  4. Step 4: Simplify right side
    665,446.22x = 463,851,057,266.69
  5. Step 5: Solve for x
    x = 463,851,057,266.69/665,446.22
  6. Step 6: Final answer
    x = 697,052.66

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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.