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Finding the Fourth Proportional to 329,774, 455,088.16 and 186,530.96

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Solution

The fourth proportional to 329,774, 455,088.16 and 186,530.96 is: 257,412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,774 : 455,088.16 = 186,530.96 : x
  2. Step 2: Convert to fraction form
    329,774/455,088.16 = 186,530.96/x
  3. Step 3: Cross multiply
    329,774x = 455,088.16 × 186,530.96
  4. Step 4: Simplify right side
    329,774x = 84,888,031,369.43
  5. Step 5: Solve for x
    x = 84,888,031,369.43/329,774
  6. Step 6: Final answer
    x = 257,412.75

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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.