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Finding the Fourth Proportional to 413,342.16, 570,372.78 and 232,012.53

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Solution

The fourth proportional to 413,342.16, 570,372.78 and 232,012.53 is: 320,155.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,342.16 : 570,372.78 = 232,012.53 : x
  2. Step 2: Convert to fraction form
    413,342.16/570,372.78 = 232,012.53/x
  3. Step 3: Cross multiply
    413,342.16x = 570,372.78 × 232,012.53
  4. Step 4: Simplify right side
    413,342.16x = 132,333,631,730.93
  5. Step 5: Solve for x
    x = 132,333,631,730.93/413,342.16
  6. Step 6: Final answer
    x = 320,155.18

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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.