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Finding the Fourth Proportional to 488,457.42, 732,627.81 and 133,502.46

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Solution

The fourth proportional to 488,457.42, 732,627.81 and 133,502.46 is: 200,237.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,457.42 : 732,627.81 = 133,502.46 : x
  2. Step 2: Convert to fraction form
    488,457.42/732,627.81 = 133,502.46/x
  3. Step 3: Cross multiply
    488,457.42x = 732,627.81 × 133,502.46
  4. Step 4: Simplify right side
    488,457.42x = 97,807,614,899.41
  5. Step 5: Solve for x
    x = 97,807,614,899.41/488,457.42
  6. Step 6: Final answer
    x = 200,237.75

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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.