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Finding the Fourth Proportional to 487,846.40, 731,769.60 and 320,424.80

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Solution

The fourth proportional to 487,846.40, 731,769.60 and 320,424.80 is: 480,637.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,846.40 : 731,769.60 = 320,424.80 : x
  2. Step 2: Convert to fraction form
    487,846.40/731,769.60 = 320,424.80/x
  3. Step 3: Cross multiply
    487,846.40x = 731,769.60 × 320,424.80
  4. Step 4: Simplify right side
    487,846.40x = 234,477,127,726.08
  5. Step 5: Solve for x
    x = 234,477,127,726.08/487,846.40
  6. Step 6: Final answer
    x = 480,637.20

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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.