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Finding the Fourth Proportional to 280,510.72, 420,769.80 and 93,522.28

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Solution

The fourth proportional to 280,510.72, 420,769.80 and 93,522.28 is: 140,284.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,510.72 : 420,769.80 = 93,522.28 : x
  2. Step 2: Convert to fraction form
    280,510.72/420,769.80 = 93,522.28/x
  3. Step 3: Cross multiply
    280,510.72x = 420,769.80 × 93,522.28
  4. Step 4: Simplify right side
    280,510.72x = 39,351,351,051.14
  5. Step 5: Solve for x
    x = 39,351,351,051.14/280,510.72
  6. Step 6: Final answer
    x = 140,284.66

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1.5x scale

Why These Related Problems?

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