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Finding the Fourth Proportional to 1,309,851, 1,963,712.16 and 589,663.80

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Solution

The fourth proportional to 1,309,851, 1,963,712.16 and 589,663.80 is: 884,016.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,851 : 1,963,712.16 = 589,663.80 : x
  2. Step 2: Convert to fraction form
    1,309,851/1,963,712.16 = 589,663.80/x
  3. Step 3: Cross multiply
    1,309,851x = 1,963,712.16 × 589,663.80
  4. Step 4: Simplify right side
    1,309,851x = 1,157,929,974,371.81
  5. Step 5: Solve for x
    x = 1,157,929,974,371.81/1,309,851
  6. Step 6: Final answer
    x = 884,016.56

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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.