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Finding the Fourth Proportional to 408,852.77, 563,897.30 and 265,658.94

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Solution

The fourth proportional to 408,852.77, 563,897.30 and 265,658.94 is: 366,401.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,852.77 : 563,897.30 = 265,658.94 : x
  2. Step 2: Convert to fraction form
    408,852.77/563,897.30 = 265,658.94/x
  3. Step 3: Cross multiply
    408,852.77x = 563,897.30 × 265,658.94
  4. Step 4: Simplify right side
    408,852.77x = 149,804,357,658.57
  5. Step 5: Solve for x
    x = 149,804,357,658.57/408,852.77
  6. Step 6: Final answer
    x = 366,401.72

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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.