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Finding the Fourth Proportional to 280,307.07, 420,484.91 and 80,643.69

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Solution

The fourth proportional to 280,307.07, 420,484.91 and 80,643.69 is: 120,972.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,307.07 : 420,484.91 = 80,643.69 : x
  2. Step 2: Convert to fraction form
    280,307.07/420,484.91 = 80,643.69/x
  3. Step 3: Cross multiply
    280,307.07x = 420,484.91 × 80,643.69
  4. Step 4: Simplify right side
    280,307.07x = 33,909,454,328.50
  5. Step 5: Solve for x
    x = 33,909,454,328.50/280,307.07
  6. Step 6: Final answer
    x = 120,972.53

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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.