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Finding the Fourth Proportional to 2,073,648, 3,110,472 and 497,712

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Solution

The fourth proportional to 2,073,648, 3,110,472 and 497,712 is: 746,568

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073,648 : 3,110,472 = 497,712 : x
  2. Step 2: Convert to fraction form
    2,073,648/3,110,472 = 497,712/x
  3. Step 3: Cross multiply
    2,073,648x = 3,110,472 × 497,712
  4. Step 4: Simplify right side
    2,073,648x = 1,548,119,240,064
  5. Step 5: Solve for x
    x = 1,548,119,240,064/2,073,648
  6. Step 6: Final answer
    x = 746,568

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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.