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Finding the Fourth Proportional to 412,572, 569,349.36 and 233,724

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Solution

The fourth proportional to 412,572, 569,349.36 and 233,724 is: 322,539.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,572 : 569,349.36 = 233,724 : x
  2. Step 2: Convert to fraction form
    412,572/569,349.36 = 233,724/x
  3. Step 3: Cross multiply
    412,572x = 569,349.36 × 233,724
  4. Step 4: Simplify right side
    412,572x = 133,070,609,816.64
  5. Step 5: Solve for x
    x = 133,070,609,816.64/412,572
  6. Step 6: Final answer
    x = 322,539.12

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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.