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Finding the Fourth Proportional to 284,316.56, 426,457.52 and 84,637.52

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Solution

The fourth proportional to 284,316.56, 426,457.52 and 84,637.52 is: 126,951.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,316.56 : 426,457.52 = 84,637.52 : x
  2. Step 2: Convert to fraction form
    284,316.56/426,457.52 = 84,637.52/x
  3. Step 3: Cross multiply
    284,316.56x = 426,457.52 × 84,637.52
  4. Step 4: Simplify right side
    284,316.56x = 36,094,306,878.15
  5. Step 5: Solve for x
    x = 36,094,306,878.15/284,316.56
  6. Step 6: Final answer
    x = 126,951.12

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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.