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Finding the Fourth Proportional to 1,578,144, 2,177,838.72 and 862,752

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Solution

The fourth proportional to 1,578,144, 2,177,838.72 and 862,752 is: 1,190,597.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578,144 : 2,177,838.72 = 862,752 : x
  2. Step 2: Convert to fraction form
    1,578,144/2,177,838.72 = 862,752/x
  3. Step 3: Cross multiply
    1,578,144x = 2,177,838.72 × 862,752
  4. Step 4: Simplify right side
    1,578,144x = 1,878,934,711,357.44
  5. Step 5: Solve for x
    x = 1,878,934,711,357.44/1,578,144
  6. Step 6: Final answer
    x = 1,190,597.76

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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.