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Finding the Fourth Proportional to 651,630.80, 976,571.40 and 464,423.60

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Solution

The fourth proportional to 651,630.80, 976,571.40 and 464,423.60 is: 696,011.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,630.80 : 976,571.40 = 464,423.60 : x
  2. Step 2: Convert to fraction form
    651,630.80/976,571.40 = 464,423.60/x
  3. Step 3: Cross multiply
    651,630.80x = 976,571.40 × 464,423.60
  4. Step 4: Simplify right side
    651,630.80x = 453,542,805,245.04
  5. Step 5: Solve for x
    x = 453,542,805,245.04/651,630.80
  6. Step 6: Final answer
    x = 696,011.92

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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.