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Finding the Fourth Proportional to 322,966, 484,547.64 and 165,306.16

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Solution

The fourth proportional to 322,966, 484,547.64 and 165,306.16 is: 248,009.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,966 : 484,547.64 = 165,306.16 : x
  2. Step 2: Convert to fraction form
    322,966/484,547.64 = 165,306.16/x
  3. Step 3: Cross multiply
    322,966x = 484,547.64 × 165,306.16
  4. Step 4: Simplify right side
    322,966x = 80,098,709,705.46
  5. Step 5: Solve for x
    x = 80,098,709,705.46/322,966
  6. Step 6: Final answer
    x = 248,009.73

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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.