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Finding the Fourth Proportional to 477,364.70, 658,780.24 and 262,521.10

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Solution

The fourth proportional to 477,364.70, 658,780.24 and 262,521.10 is: 362,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,364.70 : 658,780.24 = 262,521.10 : x
  2. Step 2: Convert to fraction form
    477,364.70/658,780.24 = 262,521.10/x
  3. Step 3: Cross multiply
    477,364.70x = 658,780.24 × 262,521.10
  4. Step 4: Simplify right side
    477,364.70x = 172,943,713,263.06
  5. Step 5: Solve for x
    x = 172,943,713,263.06/477,364.70
  6. Step 6: Final answer
    x = 362,288.44

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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.