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Finding the Fourth Proportional to 1,168,416, 1,752,624 and 281,952

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Solution

The fourth proportional to 1,168,416, 1,752,624 and 281,952 is: 422,928

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168,416 : 1,752,624 = 281,952 : x
  2. Step 2: Convert to fraction form
    1,168,416/1,752,624 = 281,952/x
  3. Step 3: Cross multiply
    1,168,416x = 1,752,624 × 281,952
  4. Step 4: Simplify right side
    1,168,416x = 494,155,842,048
  5. Step 5: Solve for x
    x = 494,155,842,048/1,168,416
  6. Step 6: Final answer
    x = 422,928

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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.