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Finding the Fourth Proportional to 472,896.59, 709,340.21 and 216,656.47

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Solution

The fourth proportional to 472,896.59, 709,340.21 and 216,656.47 is: 324,982.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,896.59 : 709,340.21 = 216,656.47 : x
  2. Step 2: Convert to fraction form
    472,896.59/709,340.21 = 216,656.47/x
  3. Step 3: Cross multiply
    472,896.59x = 709,340.21 × 216,656.47
  4. Step 4: Simplify right side
    472,896.59x = 153,683,147,159.37
  5. Step 5: Solve for x
    x = 153,683,147,159.37/472,896.59
  6. Step 6: Final answer
    x = 324,982.57

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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.