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Finding the Fourth Proportional to 413,357.90, 620,174.84 and 160,646.40

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Solution

The fourth proportional to 413,357.90, 620,174.84 and 160,646.40 is: 241,023.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,357.90 : 620,174.84 = 160,646.40 : x
  2. Step 2: Convert to fraction form
    413,357.90/620,174.84 = 160,646.40/x
  3. Step 3: Cross multiply
    413,357.90x = 620,174.84 × 160,646.40
  4. Step 4: Simplify right side
    413,357.90x = 99,628,854,613.34
  5. Step 5: Solve for x
    x = 99,628,854,613.34/413,357.90
  6. Step 6: Final answer
    x = 241,023.23

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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.