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Finding the Fourth Proportional to 559,907.31, 839,613.86 and 160,457.43

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Solution

The fourth proportional to 559,907.31, 839,613.86 and 160,457.43 is: 240,615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,907.31 : 839,613.86 = 160,457.43 : x
  2. Step 2: Convert to fraction form
    559,907.31/839,613.86 = 160,457.43/x
  3. Step 3: Cross multiply
    559,907.31x = 839,613.86 × 160,457.43
  4. Step 4: Simplify right side
    559,907.31x = 134,722,281,365.69
  5. Step 5: Solve for x
    x = 134,722,281,365.69/559,907.31
  6. Step 6: Final answer
    x = 240,615.33

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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.