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Finding the Fourth Proportional to 280,724.40, 387,398.88 and 153,400.80

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Solution

The fourth proportional to 280,724.40, 387,398.88 and 153,400.80 is: 211,692.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,724.40 : 387,398.88 = 153,400.80 : x
  2. Step 2: Convert to fraction form
    280,724.40/387,398.88 = 153,400.80/x
  3. Step 3: Cross multiply
    280,724.40x = 387,398.88 × 153,400.80
  4. Step 4: Simplify right side
    280,724.40x = 59,427,298,111.10
  5. Step 5: Solve for x
    x = 59,427,298,111.10/280,724.40
  6. Step 6: Final answer
    x = 211,692.67

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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.