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Finding the Fourth Proportional to 547,953.15, 821,927.70 and 148,592.91

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Solution

The fourth proportional to 547,953.15, 821,927.70 and 148,592.91 is: 222,888.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,953.15 : 821,927.70 = 148,592.91 : x
  2. Step 2: Convert to fraction form
    547,953.15/821,927.70 = 148,592.91/x
  3. Step 3: Cross multiply
    547,953.15x = 821,927.70 × 148,592.91
  4. Step 4: Simplify right side
    547,953.15x = 122,132,628,752.61
  5. Step 5: Solve for x
    x = 122,132,628,752.61/547,953.15
  6. Step 6: Final answer
    x = 222,888.82

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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.