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Finding the Fourth Proportional to 489,054.20, 683,276.20 and 489,054.20

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Solution

The fourth proportional to 489,054.20, 683,276.20 and 489,054.20 is: 683,276.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,054.20 : 683,276.20 = 489,054.20 : x
  2. Step 2: Convert to fraction form
    489,054.20/683,276.20 = 489,054.20/x
  3. Step 3: Cross multiply
    489,054.20x = 683,276.20 × 489,054.20
  4. Step 4: Simplify right side
    489,054.20x = 334,159,095,370.04
  5. Step 5: Solve for x
    x = 334,159,095,370.04/489,054.20
  6. Step 6: Final answer
    x = 683,276.20

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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.