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Finding the Fourth Proportional to 284,400.05, 392,465.02 and 163,538.46

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Solution

The fourth proportional to 284,400.05, 392,465.02 and 163,538.46 is: 225,679.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,400.05 : 392,465.02 = 163,538.46 : x
  2. Step 2: Convert to fraction form
    284,400.05/392,465.02 = 163,538.46/x
  3. Step 3: Cross multiply
    284,400.05x = 392,465.02 × 163,538.46
  4. Step 4: Simplify right side
    284,400.05x = 64,183,124,565.82
  5. Step 5: Solve for x
    x = 64,183,124,565.82/284,400.05
  6. Step 6: Final answer
    x = 225,679.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.