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Finding the Fourth Proportional to 280,400.28, 386,946.36 and 153,078

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Solution

The fourth proportional to 280,400.28, 386,946.36 and 153,078 is: 211,244.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,400.28 : 386,946.36 = 153,078 : x
  2. Step 2: Convert to fraction form
    280,400.28/386,946.36 = 153,078/x
  3. Step 3: Cross multiply
    280,400.28x = 386,946.36 × 153,078
  4. Step 4: Simplify right side
    280,400.28x = 59,232,974,896.08
  5. Step 5: Solve for x
    x = 59,232,974,896.08/280,400.28
  6. Step 6: Final answer
    x = 211,244.35

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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.