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Finding the Fourth Proportional to 1,409,842.24, 1,946,593.34 and 866,706.18

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Solution

The fourth proportional to 1,409,842.24, 1,946,593.34 and 866,706.18 is: 1,196,676.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409,842.24 : 1,946,593.34 = 866,706.18 : x
  2. Step 2: Convert to fraction form
    1,409,842.24/1,946,593.34 = 866,706.18/x
  3. Step 3: Cross multiply
    1,409,842.24x = 1,946,593.34 × 866,706.18
  4. Step 4: Simplify right side
    1,409,842.24x = 1,687,124,477,724.84
  5. Step 5: Solve for x
    x = 1,687,124,477,724.84/1,409,842.24
  6. Step 6: Final answer
    x = 1,196,676.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.