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Finding the Fourth Proportional to 673,924, 1,010,944.32 and 175,288

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Solution

The fourth proportional to 673,924, 1,010,944.32 and 175,288 is: 262,947.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,924 : 1,010,944.32 = 175,288 : x
  2. Step 2: Convert to fraction form
    673,924/1,010,944.32 = 175,288/x
  3. Step 3: Cross multiply
    673,924x = 1,010,944.32 × 175,288
  4. Step 4: Simplify right side
    673,924x = 177,206,407,964.16
  5. Step 5: Solve for x
    x = 177,206,407,964.16/673,924
  6. Step 6: Final answer
    x = 262,947.17

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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.