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Finding the Fourth Proportional to 2,073,652, 3,110,478 and 497,716

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Solution

The fourth proportional to 2,073,652, 3,110,478 and 497,716 is: 746,574

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073,652 : 3,110,478 = 497,716 : x
  2. Step 2: Convert to fraction form
    2,073,652/3,110,478 = 497,716/x
  3. Step 3: Cross multiply
    2,073,652x = 3,110,478 × 497,716
  4. Step 4: Simplify right side
    2,073,652x = 1,548,134,668,248
  5. Step 5: Solve for x
    x = 1,548,134,668,248/2,073,652
  6. Step 6: Final answer
    x = 746,574

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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.