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Finding the Fourth Proportional to 329,829, 455,164.16 and 186,586

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Solution

The fourth proportional to 329,829, 455,164.16 and 186,586 is: 257,488.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,829 : 455,164.16 = 186,586 : x
  2. Step 2: Convert to fraction form
    329,829/455,164.16 = 186,586/x
  3. Step 3: Cross multiply
    329,829x = 455,164.16 × 186,586
  4. Step 4: Simplify right side
    329,829x = 84,927,259,957.76
  5. Step 5: Solve for x
    x = 84,927,259,957.76/329,829
  6. Step 6: Final answer
    x = 257,488.76

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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.