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Finding the Fourth Proportional to 674,348, 1,011,522 and 175,712

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Solution

The fourth proportional to 674,348, 1,011,522 and 175,712 is: 263,568

Step by Step Solution

  1. Step 1: Write the proportion equation
    674,348 : 1,011,522 = 175,712 : x
  2. Step 2: Convert to fraction form
    674,348/1,011,522 = 175,712/x
  3. Step 3: Cross multiply
    674,348x = 1,011,522 × 175,712
  4. Step 4: Simplify right side
    674,348x = 177,736,553,664
  5. Step 5: Solve for x
    x = 177,736,553,664/674,348
  6. Step 6: Final answer
    x = 263,568

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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.