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Finding the Fourth Proportional to 1,752,178, 2,418,005.64 and 947,362

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Solution

The fourth proportional to 1,752,178, 2,418,005.64 and 947,362 is: 1,307,359.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752,178 : 2,418,005.64 = 947,362 : x
  2. Step 2: Convert to fraction form
    1,752,178/2,418,005.64 = 947,362/x
  3. Step 3: Cross multiply
    1,752,178x = 2,418,005.64 × 947,362
  4. Step 4: Simplify right side
    1,752,178x = 2,290,726,659,121.68
  5. Step 5: Solve for x
    x = 2,290,726,659,121.68/1,752,178
  6. Step 6: Final answer
    x = 1,307,359.56

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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.