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Finding the Fourth Proportional to 1,223,875.97, 1,834,672.56 and 413,696.68

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Solution

The fourth proportional to 1,223,875.97, 1,834,672.56 and 413,696.68 is: 620,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223,875.97 : 1,834,672.56 = 413,696.68 : x
  2. Step 2: Convert to fraction form
    1,223,875.97/1,834,672.56 = 413,696.68/x
  3. Step 3: Cross multiply
    1,223,875.97x = 1,834,672.56 × 413,696.68
  4. Step 4: Simplify right side
    1,223,875.97x = 758,997,937,785.74
  5. Step 5: Solve for x
    x = 758,997,937,785.74/1,223,875.97
  6. Step 6: Final answer
    x = 620,159.20

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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.