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Finding the Fourth Proportional to 553,717.50, 830,714.97 and 159,733.50

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Solution

The fourth proportional to 553,717.50, 830,714.97 and 159,733.50 is: 239,640.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,717.50 : 830,714.97 = 159,733.50 : x
  2. Step 2: Convert to fraction form
    553,717.50/830,714.97 = 159,733.50/x
  3. Step 3: Cross multiply
    553,717.50x = 830,714.97 × 159,733.50
  4. Step 4: Simplify right side
    553,717.50x = 132,693,009,660.50
  5. Step 5: Solve for x
    x = 132,693,009,660.50/553,717.50
  6. Step 6: Final answer
    x = 239,640.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.