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Finding the Fourth Proportional to 1,752,168, 2,417,991.84 and 947,352

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Solution

The fourth proportional to 1,752,168, 2,417,991.84 and 947,352 is: 1,307,345.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752,168 : 2,417,991.84 = 947,352 : x
  2. Step 2: Convert to fraction form
    1,752,168/2,417,991.84 = 947,352/x
  3. Step 3: Cross multiply
    1,752,168x = 2,417,991.84 × 947,352
  4. Step 4: Simplify right side
    1,752,168x = 2,290,689,405,607.68
  5. Step 5: Solve for x
    x = 2,290,689,405,607.68/1,752,168
  6. Step 6: Final answer
    x = 1,307,345.76

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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.