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Finding the Fourth Proportional to 329,547.60, 493,665.30 and 171,864.90

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Solution

The fourth proportional to 329,547.60, 493,665.30 and 171,864.90 is: 257,455.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,547.60 : 493,665.30 = 171,864.90 : x
  2. Step 2: Convert to fraction form
    329,547.60/493,665.30 = 171,864.90/x
  3. Step 3: Cross multiply
    329,547.60x = 493,665.30 × 171,864.90
  4. Step 4: Simplify right side
    329,547.60x = 84,843,737,417.97
  5. Step 5: Solve for x
    x = 84,843,737,417.97/329,547.60
  6. Step 6: Final answer
    x = 257,455.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.