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Finding the Fourth Proportional to 329,830, 455,165.54 and 186,587

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Solution

The fourth proportional to 329,830, 455,165.54 and 186,587 is: 257,490.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,830 : 455,165.54 = 186,587 : x
  2. Step 2: Convert to fraction form
    329,830/455,165.54 = 186,587/x
  3. Step 3: Cross multiply
    329,830x = 455,165.54 × 186,587
  4. Step 4: Simplify right side
    329,830x = 84,927,972,611.98
  5. Step 5: Solve for x
    x = 84,927,972,611.98/329,830
  6. Step 6: Final answer
    x = 257,490.14

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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.