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Finding the Fourth Proportional to 509,596.80, 703,252.80 and 294,748.80

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Solution

The fourth proportional to 509,596.80, 703,252.80 and 294,748.80 is: 406,758.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,596.80 : 703,252.80 = 294,748.80 : x
  2. Step 2: Convert to fraction form
    509,596.80/703,252.80 = 294,748.80/x
  3. Step 3: Cross multiply
    509,596.80x = 703,252.80 × 294,748.80
  4. Step 4: Simplify right side
    509,596.80x = 207,282,918,896.64
  5. Step 5: Solve for x
    x = 207,282,918,896.64/509,596.80
  6. Step 6: Final answer
    x = 406,758.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.