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Finding the Fourth Proportional to 537,559.65, 805,776.91 and 200,464.69

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Solution

The fourth proportional to 537,559.65, 805,776.91 and 200,464.69 is: 300,487.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,559.65 : 805,776.91 = 200,464.69 : x
  2. Step 2: Convert to fraction form
    537,559.65/805,776.91 = 200,464.69/x
  3. Step 3: Cross multiply
    537,559.65x = 805,776.91 × 200,464.69
  4. Step 4: Simplify right side
    537,559.65x = 161,529,820,294.84
  5. Step 5: Solve for x
    x = 161,529,820,294.84/537,559.65
  6. Step 6: Final answer
    x = 300,487.25

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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.