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Finding the Fourth Proportional to 1,831,159.13, 2,746,738.69 and 709,228.13

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Solution

The fourth proportional to 1,831,159.13, 2,746,738.69 and 709,228.13 is: 1,063,842.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831,159.13 : 2,746,738.69 = 709,228.13 : x
  2. Step 2: Convert to fraction form
    1,831,159.13/2,746,738.69 = 709,228.13/x
  3. Step 3: Cross multiply
    1,831,159.13x = 2,746,738.69 × 709,228.13
  4. Step 4: Simplify right side
    1,831,159.13x = 1,948,064,329,200.59
  5. Step 5: Solve for x
    x = 1,948,064,329,200.59/1,831,159.13
  6. Step 6: Final answer
    x = 1,063,842.19

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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.