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Finding the Fourth Proportional to 284,632.20, 426,956.94 and 97,641

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Solution

The fourth proportional to 284,632.20, 426,956.94 and 97,641 is: 146,464.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,632.20 : 426,956.94 = 97,641 : x
  2. Step 2: Convert to fraction form
    284,632.20/426,956.94 = 97,641/x
  3. Step 3: Cross multiply
    284,632.20x = 426,956.94 × 97,641
  4. Step 4: Simplify right side
    284,632.20x = 41,688,502,578.54
  5. Step 5: Solve for x
    x = 41,688,502,578.54/284,632.20
  6. Step 6: Final answer
    x = 146,464.46

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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.