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Finding the Fourth Proportional to 499,052.56, 688,497.24 and 307,733.80

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Solution

The fourth proportional to 499,052.56, 688,497.24 and 307,733.80 is: 424,552.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,052.56 : 688,497.24 = 307,733.80 : x
  2. Step 2: Convert to fraction form
    499,052.56/688,497.24 = 307,733.80/x
  3. Step 3: Cross multiply
    499,052.56x = 688,497.24 × 307,733.80
  4. Step 4: Simplify right side
    499,052.56x = 211,873,871,954.71
  5. Step 5: Solve for x
    x = 211,873,871,954.71/499,052.56
  6. Step 6: Final answer
    x = 424,552.22

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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.