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Finding the Fourth Proportional to 586,285.11, 809,005.47 and 328,176.51

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Solution

The fourth proportional to 586,285.11, 809,005.47 and 328,176.51 is: 452,845.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,285.11 : 809,005.47 = 328,176.51 : x
  2. Step 2: Convert to fraction form
    586,285.11/809,005.47 = 328,176.51/x
  3. Step 3: Cross multiply
    586,285.11x = 809,005.47 × 328,176.51
  4. Step 4: Simplify right side
    586,285.11x = 265,496,593,847.73
  5. Step 5: Solve for x
    x = 265,496,593,847.73/586,285.11
  6. Step 6: Final answer
    x = 452,845.53

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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.