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Finding the Fourth Proportional to 280,635.60, 420,953.40 and 83,643.60

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Solution

The fourth proportional to 280,635.60, 420,953.40 and 83,643.60 is: 125,465.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,635.60 : 420,953.40 = 83,643.60 : x
  2. Step 2: Convert to fraction form
    280,635.60/420,953.40 = 83,643.60/x
  3. Step 3: Cross multiply
    280,635.60x = 420,953.40 × 83,643.60
  4. Step 4: Simplify right side
    280,635.60x = 35,210,057,808.24
  5. Step 5: Solve for x
    x = 35,210,057,808.24/280,635.60
  6. Step 6: Final answer
    x = 125,465.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.