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Finding the Fourth Proportional to 381,953.63, 527,141.72 and 229,075.95

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Solution

The fourth proportional to 381,953.63, 527,141.72 and 229,075.95 is: 316,152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,953.63 : 527,141.72 = 229,075.95 : x
  2. Step 2: Convert to fraction form
    381,953.63/527,141.72 = 229,075.95/x
  3. Step 3: Cross multiply
    381,953.63x = 527,141.72 × 229,075.95
  4. Step 4: Simplify right side
    381,953.63x = 120,755,489,877.93
  5. Step 5: Solve for x
    x = 120,755,489,877.93/381,953.63
  6. Step 6: Final answer
    x = 316,152.23

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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.