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Finding the Fourth Proportional to 1,197,836.94, 1,653,038.36 and 653,974.13

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Solution

The fourth proportional to 1,197,836.94, 1,653,038.36 and 653,974.13 is: 902,497.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197,836.94 : 1,653,038.36 = 653,974.13 : x
  2. Step 2: Convert to fraction form
    1,197,836.94/1,653,038.36 = 653,974.13/x
  3. Step 3: Cross multiply
    1,197,836.94x = 1,653,038.36 × 653,974.13
  4. Step 4: Simplify right side
    1,197,836.94x = 1,081,044,311,802.56
  5. Step 5: Solve for x
    x = 1,081,044,311,802.56/1,197,836.94
  6. Step 6: Final answer
    x = 902,497.06

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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.