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Finding the Fourth Proportional to 1,157,566.90, 1,736,350.35 and 970,942.90

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Solution

The fourth proportional to 1,157,566.90, 1,736,350.35 and 970,942.90 is: 1,456,414.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,566.90 : 1,736,350.35 = 970,942.90 : x
  2. Step 2: Convert to fraction form
    1,157,566.90/1,736,350.35 = 970,942.90/x
  3. Step 3: Cross multiply
    1,157,566.90x = 1,736,350.35 × 970,942.90
  4. Step 4: Simplify right side
    1,157,566.90x = 1,685,897,044,245.02
  5. Step 5: Solve for x
    x = 1,685,897,044,245.02/1,157,566.90
  6. Step 6: Final answer
    x = 1,456,414.35

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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.