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Finding the Fourth Proportional to 464,162.34, 695,061.90 and 305,911.02

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Solution

The fourth proportional to 464,162.34, 695,061.90 and 305,911.02 is: 458,087.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,162.34 : 695,061.90 = 305,911.02 : x
  2. Step 2: Convert to fraction form
    464,162.34/695,061.90 = 305,911.02/x
  3. Step 3: Cross multiply
    464,162.34x = 695,061.90 × 305,911.02
  4. Step 4: Simplify right side
    464,162.34x = 212,627,094,792.14
  5. Step 5: Solve for x
    x = 212,627,094,792.14/464,162.34
  6. Step 6: Final answer
    x = 458,087.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.