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Finding the Fourth Proportional to 489,805.20, 684,327.60 and 489,805.20

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Solution

The fourth proportional to 489,805.20, 684,327.60 and 489,805.20 is: 684,327.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,805.20 : 684,327.60 = 489,805.20 : x
  2. Step 2: Convert to fraction form
    489,805.20/684,327.60 = 489,805.20/x
  3. Step 3: Cross multiply
    489,805.20x = 684,327.60 × 489,805.20
  4. Step 4: Simplify right side
    489,805.20x = 335,187,216,983.52
  5. Step 5: Solve for x
    x = 335,187,216,983.52/489,805.20
  6. Step 6: Final answer
    x = 684,327.60

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1.5x scale

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.