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Finding the Fourth Proportional to 566,436.33, 781,756.79 and 340,096.41

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Solution

The fourth proportional to 566,436.33, 781,756.79 and 340,096.41 is: 469,377.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,436.33 : 781,756.79 = 340,096.41 : x
  2. Step 2: Convert to fraction form
    566,436.33/781,756.79 = 340,096.41/x
  3. Step 3: Cross multiply
    566,436.33x = 781,756.79 × 340,096.41
  4. Step 4: Simplify right side
    566,436.33x = 265,872,676,071.64
  5. Step 5: Solve for x
    x = 265,872,676,071.64/566,436.33
  6. Step 6: Final answer
    x = 469,377.87

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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.