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Finding the Fourth Proportional to 514,363.42, 709,832.96 and 293,596.26

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Solution

The fourth proportional to 514,363.42, 709,832.96 and 293,596.26 is: 405,169.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,363.42 : 709,832.96 = 293,596.26 : x
  2. Step 2: Convert to fraction form
    514,363.42/709,832.96 = 293,596.26/x
  3. Step 3: Cross multiply
    514,363.42x = 709,832.96 × 293,596.26
  4. Step 4: Simplify right side
    514,363.42x = 208,404,302,280.73
  5. Step 5: Solve for x
    x = 208,404,302,280.73/514,363.42
  6. Step 6: Final answer
    x = 405,169.37

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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.