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Finding the Fourth Proportional to 311,064.66, 467,159.07 and 286,058.58

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Solution

The fourth proportional to 311,064.66, 467,159.07 and 286,058.58 is: 429,604.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,064.66 : 467,159.07 = 286,058.58 : x
  2. Step 2: Convert to fraction form
    311,064.66/467,159.07 = 286,058.58/x
  3. Step 3: Cross multiply
    311,064.66x = 467,159.07 × 286,058.58
  4. Step 4: Simplify right side
    311,064.66x = 133,634,860,198.32
  5. Step 5: Solve for x
    x = 133,634,860,198.32/311,064.66
  6. Step 6: Final answer
    x = 429,604.77

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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.