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Finding the Fourth Proportional to 484,803.51, 726,961.86 and 282,465.12

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Solution

The fourth proportional to 484,803.51, 726,961.86 and 282,465.12 is: 423,555.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,803.51 : 726,961.86 = 282,465.12 : x
  2. Step 2: Convert to fraction form
    484,803.51/726,961.86 = 282,465.12/x
  3. Step 3: Cross multiply
    484,803.51x = 726,961.86 × 282,465.12
  4. Step 4: Simplify right side
    484,803.51x = 205,341,369,020.32
  5. Step 5: Solve for x
    x = 205,341,369,020.32/484,803.51
  6. Step 6: Final answer
    x = 423,555.86

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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.