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Finding the Fourth Proportional to 407,283.76, 562,052.51 and 225,996.15

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Solution

The fourth proportional to 407,283.76, 562,052.51 and 225,996.15 is: 311,875.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,283.76 : 562,052.51 = 225,996.15 : x
  2. Step 2: Convert to fraction form
    407,283.76/562,052.51 = 225,996.15/x
  3. Step 3: Cross multiply
    407,283.76x = 562,052.51 × 225,996.15
  4. Step 4: Simplify right side
    407,283.76x = 127,021,703,284.46
  5. Step 5: Solve for x
    x = 127,021,703,284.46/407,283.76
  6. Step 6: Final answer
    x = 311,875.20

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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.