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Finding the Fourth Proportional to 684,904.20, 960,965.40 and 684,904.20

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Solution

The fourth proportional to 684,904.20, 960,965.40 and 684,904.20 is: 960,965.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,904.20 : 960,965.40 = 684,904.20 : x
  2. Step 2: Convert to fraction form
    684,904.20/960,965.40 = 684,904.20/x
  3. Step 3: Cross multiply
    684,904.20x = 960,965.40 × 684,904.20
  4. Step 4: Simplify right side
    684,904.20x = 658,169,238,514.68
  5. Step 5: Solve for x
    x = 658,169,238,514.68/684,904.20
  6. Step 6: Final answer
    x = 960,965.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.