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Finding the Fourth Proportional to 405,415.41, 559,528.91 and 233,329.91

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Solution

The fourth proportional to 405,415.41, 559,528.91 and 233,329.91 is: 322,027.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,415.41 : 559,528.91 = 233,329.91 : x
  2. Step 2: Convert to fraction form
    405,415.41/559,528.91 = 233,329.91/x
  3. Step 3: Cross multiply
    405,415.41x = 559,528.91 × 233,329.91
  4. Step 4: Simplify right side
    405,415.41x = 130,554,826,248.40
  5. Step 5: Solve for x
    x = 130,554,826,248.40/405,415.41
  6. Step 6: Final answer
    x = 322,027.29

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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.