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Finding the Fourth Proportional to 1,155,712.24, 1,594,893 and 646,462

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Solution

The fourth proportional to 1,155,712.24, 1,594,893 and 646,462 is: 892,123.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155,712.24 : 1,594,893 = 646,462 : x
  2. Step 2: Convert to fraction form
    1,155,712.24/1,594,893 = 646,462/x
  3. Step 3: Cross multiply
    1,155,712.24x = 1,594,893 × 646,462
  4. Step 4: Simplify right side
    1,155,712.24x = 1,031,037,718,566
  5. Step 5: Solve for x
    x = 1,031,037,718,566/1,155,712.24
  6. Step 6: Final answer
    x = 892,123.21

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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.