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Finding the Fourth Proportional to 405,216.66, 559,220.52 and 233,160.78

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Solution

The fourth proportional to 405,216.66, 559,220.52 and 233,160.78 is: 321,774.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,216.66 : 559,220.52 = 233,160.78 : x
  2. Step 2: Convert to fraction form
    405,216.66/559,220.52 = 233,160.78/x
  3. Step 3: Cross multiply
    405,216.66x = 559,220.52 × 233,160.78
  4. Step 4: Simplify right side
    405,216.66x = 130,388,292,635.21
  5. Step 5: Solve for x
    x = 130,388,292,635.21/405,216.66
  6. Step 6: Final answer
    x = 321,774.26

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1.5x scale

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.