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Finding the Fourth Proportional to 465,988.59, 697,861.86 and 265,701.78

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Solution

The fourth proportional to 465,988.59, 697,861.86 and 265,701.78 is: 397,913.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,988.59 : 697,861.86 = 265,701.78 : x
  2. Step 2: Convert to fraction form
    465,988.59/697,861.86 = 265,701.78/x
  3. Step 3: Cross multiply
    465,988.59x = 697,861.86 × 265,701.78
  4. Step 4: Simplify right side
    465,988.59x = 185,423,138,396.11
  5. Step 5: Solve for x
    x = 185,423,138,396.11/465,988.59
  6. Step 6: Final answer
    x = 397,913.47

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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.