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Finding the Fourth Proportional to 405,601.02, 559,715.31 and 233,513.28

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Solution

The fourth proportional to 405,601.02, 559,715.31 and 233,513.28 is: 322,240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,601.02 : 559,715.31 = 233,513.28 : x
  2. Step 2: Convert to fraction form
    405,601.02/559,715.31 = 233,513.28/x
  3. Step 3: Cross multiply
    405,601.02x = 559,715.31 × 233,513.28
  4. Step 4: Simplify right side
    405,601.02x = 130,700,957,904.32
  5. Step 5: Solve for x
    x = 130,700,957,904.32/405,601.02
  6. Step 6: Final answer
    x = 322,240.21

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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.