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Finding the Fourth Proportional to 405,567.84, 559,725.66 and 233,491.92

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Solution

The fourth proportional to 405,567.84, 559,725.66 and 233,491.92 is: 322,243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,567.84 : 559,725.66 = 233,491.92 : x
  2. Step 2: Convert to fraction form
    405,567.84/559,725.66 = 233,491.92/x
  3. Step 3: Cross multiply
    405,567.84x = 559,725.66 × 233,491.92
  4. Step 4: Simplify right side
    405,567.84x = 130,691,419,026.67
  5. Step 5: Solve for x
    x = 130,691,419,026.67/405,567.84
  6. Step 6: Final answer
    x = 322,243.05

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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.