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Finding the Fourth Proportional to 656,272.84, 905,657.13 and 354,466.84

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Solution

The fourth proportional to 656,272.84, 905,657.13 and 354,466.84 is: 489,164.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,272.84 : 905,657.13 = 354,466.84 : x
  2. Step 2: Convert to fraction form
    656,272.84/905,657.13 = 354,466.84/x
  3. Step 3: Cross multiply
    656,272.84x = 905,657.13 × 354,466.84
  4. Step 4: Simplify right side
    656,272.84x = 321,025,420,994.57
  5. Step 5: Solve for x
    x = 321,025,420,994.57/656,272.84
  6. Step 6: Final answer
    x = 489,164.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.