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Finding the Fourth Proportional to 983,627.43, 1,475,640.03 and 415,009.93

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Solution

The fourth proportional to 983,627.43, 1,475,640.03 and 415,009.93 is: 622,598.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    983,627.43 : 1,475,640.03 = 415,009.93 : x
  2. Step 2: Convert to fraction form
    983,627.43/1,475,640.03 = 415,009.93/x
  3. Step 3: Cross multiply
    983,627.43x = 1,475,640.03 × 415,009.93
  4. Step 4: Simplify right side
    983,627.43x = 612,405,265,555.50
  5. Step 5: Solve for x
    x = 612,405,265,555.50/983,627.43
  6. Step 6: Final answer
    x = 622,598.81

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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.