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Finding the Fourth Proportional to 385,117.96, 531,416.48 and 221,827.58

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Solution

The fourth proportional to 385,117.96, 531,416.48 and 221,827.58 is: 306,095.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,117.96 : 531,416.48 = 221,827.58 : x
  2. Step 2: Convert to fraction form
    385,117.96/531,416.48 = 221,827.58/x
  3. Step 3: Cross multiply
    385,117.96x = 531,416.48 × 221,827.58
  4. Step 4: Simplify right side
    385,117.96x = 117,882,827,964.30
  5. Step 5: Solve for x
    x = 117,882,827,964.30/385,117.96
  6. Step 6: Final answer
    x = 306,095.38

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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.