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Finding the Fourth Proportional to 413,567.96, 620,349.66 and 161,024.13

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Solution

The fourth proportional to 413,567.96, 620,349.66 and 161,024.13 is: 241,535.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,567.96 : 620,349.66 = 161,024.13 : x
  2. Step 2: Convert to fraction form
    413,567.96/620,349.66 = 161,024.13/x
  3. Step 3: Cross multiply
    413,567.96x = 620,349.66 × 161,024.13
  4. Step 4: Simplify right side
    413,567.96x = 99,891,264,297.30
  5. Step 5: Solve for x
    x = 99,891,264,297.30/413,567.96
  6. Step 6: Final answer
    x = 241,535.31

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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.