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Finding the Fourth Proportional to 566,561.76, 781,988.22 and 324,840

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Solution

The fourth proportional to 566,561.76, 781,988.22 and 324,840 is: 448,355.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,561.76 : 781,988.22 = 324,840 : x
  2. Step 2: Convert to fraction form
    566,561.76/781,988.22 = 324,840/x
  3. Step 3: Cross multiply
    566,561.76x = 781,988.22 × 324,840
  4. Step 4: Simplify right side
    566,561.76x = 254,021,053,384.80
  5. Step 5: Solve for x
    x = 254,021,053,384.80/566,561.76
  6. Step 6: Final answer
    x = 448,355.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.