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Finding the Fourth Proportional to 403,397.73, 604,816.47 and 178,635.69

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Solution

The fourth proportional to 403,397.73, 604,816.47 and 178,635.69 is: 267,829.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,397.73 : 604,816.47 = 178,635.69 : x
  2. Step 2: Convert to fraction form
    403,397.73/604,816.47 = 178,635.69/x
  3. Step 3: Cross multiply
    403,397.73x = 604,816.47 × 178,635.69
  4. Step 4: Simplify right side
    403,397.73x = 108,041,807,441.81
  5. Step 5: Solve for x
    x = 108,041,807,441.81/403,397.73
  6. Step 6: Final answer
    x = 267,829.49

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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.