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Finding the Fourth Proportional to 329,700.96, 494,545.98 and 105,058.34

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Solution

The fourth proportional to 329,700.96, 494,545.98 and 105,058.34 is: 157,585.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,700.96 : 494,545.98 = 105,058.34 : x
  2. Step 2: Convert to fraction form
    329,700.96/494,545.98 = 105,058.34/x
  3. Step 3: Cross multiply
    329,700.96x = 494,545.98 × 105,058.34
  4. Step 4: Simplify right side
    329,700.96x = 51,956,179,712.47
  5. Step 5: Solve for x
    x = 51,956,179,712.47/329,700.96
  6. Step 6: Final answer
    x = 157,585.77

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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.