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Finding the Fourth Proportional to 1,159,164, 1,599,102 and 819,819.36

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Solution

The fourth proportional to 1,159,164, 1,599,102 and 819,819.36 is: 1,130,965.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,164 : 1,599,102 = 819,819.36 : x
  2. Step 2: Convert to fraction form
    1,159,164/1,599,102 = 819,819.36/x
  3. Step 3: Cross multiply
    1,159,164x = 1,599,102 × 819,819.36
  4. Step 4: Simplify right side
    1,159,164x = 1,310,974,778,214.72
  5. Step 5: Solve for x
    x = 1,310,974,778,214.72/1,159,164
  6. Step 6: Final answer
    x = 1,130,965.75

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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.