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Finding the Fourth Proportional to 472,883.50, 652,489.95 and 281,914.66

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Solution

The fourth proportional to 472,883.50, 652,489.95 and 281,914.66 is: 388,989.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,883.50 : 652,489.95 = 281,914.66 : x
  2. Step 2: Convert to fraction form
    472,883.50/652,489.95 = 281,914.66/x
  3. Step 3: Cross multiply
    472,883.50x = 652,489.95 × 281,914.66
  4. Step 4: Simplify right side
    472,883.50x = 183,946,482,407.67
  5. Step 5: Solve for x
    x = 183,946,482,407.67/472,883.50
  6. Step 6: Final answer
    x = 388,989.01

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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.