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Finding the Fourth Proportional to 1,584,799.90, 2,187,414.12 and 973,099.24

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Solution

The fourth proportional to 1,584,799.90, 2,187,414.12 and 973,099.24 is: 1,343,116.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,799.90 : 2,187,414.12 = 973,099.24 : x
  2. Step 2: Convert to fraction form
    1,584,799.90/2,187,414.12 = 973,099.24/x
  3. Step 3: Cross multiply
    1,584,799.90x = 2,187,414.12 × 973,099.24
  4. Step 4: Simplify right side
    1,584,799.90x = 2,128,571,017,737.27
  5. Step 5: Solve for x
    x = 2,128,571,017,737.27/1,584,799.90
  6. Step 6: Final answer
    x = 1,343,116.58

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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.