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Finding the Fourth Proportional to 329,808.98, 455,136.54 and 186,565.98

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Solution

The fourth proportional to 329,808.98, 455,136.54 and 186,565.98 is: 257,461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,808.98 : 455,136.54 = 186,565.98 : x
  2. Step 2: Convert to fraction form
    329,808.98/455,136.54 = 186,565.98/x
  3. Step 3: Cross multiply
    329,808.98x = 455,136.54 × 186,565.98
  4. Step 4: Simplify right side
    329,808.98x = 84,912,994,618.91
  5. Step 5: Solve for x
    x = 84,912,994,618.91/329,808.98
  6. Step 6: Final answer
    x = 257,461.14

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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.