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Finding the Fourth Proportional to 1,102,593.16, 1,662,070.74 and 1,006,817.14

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Solution

The fourth proportional to 1,102,593.16, 1,662,070.74 and 1,006,817.14 is: 1,517,696.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,593.16 : 1,662,070.74 = 1,006,817.14 : x
  2. Step 2: Convert to fraction form
    1,102,593.16/1,662,070.74 = 1,006,817.14/x
  3. Step 3: Cross multiply
    1,102,593.16x = 1,662,070.74 × 1,006,817.14
  4. Step 4: Simplify right side
    1,102,593.16x = 1,673,401,312,889.85
  5. Step 5: Solve for x
    x = 1,673,401,312,889.85/1,102,593.16
  6. Step 6: Final answer
    x = 1,517,696.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.