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Finding the Fourth Proportional to 415,283.32, 622,411.03 and 295,148.80

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Solution

The fourth proportional to 415,283.32, 622,411.03 and 295,148.80 is: 442,357.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,283.32 : 622,411.03 = 295,148.80 : x
  2. Step 2: Convert to fraction form
    415,283.32/622,411.03 = 295,148.80/x
  3. Step 3: Cross multiply
    415,283.32x = 622,411.03 × 295,148.80
  4. Step 4: Simplify right side
    415,283.32x = 183,703,868,611.26
  5. Step 5: Solve for x
    x = 183,703,868,611.26/415,283.32
  6. Step 6: Final answer
    x = 442,357.93

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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.