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Finding the Fourth Proportional to 587,462.34, 881,014.11 and 406,257.93

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Solution

The fourth proportional to 587,462.34, 881,014.11 and 406,257.93 is: 609,262.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,462.34 : 881,014.11 = 406,257.93 : x
  2. Step 2: Convert to fraction form
    587,462.34/881,014.11 = 406,257.93/x
  3. Step 3: Cross multiply
    587,462.34x = 881,014.11 × 406,257.93
  4. Step 4: Simplify right side
    587,462.34x = 357,918,968,629.39
  5. Step 5: Solve for x
    x = 357,918,968,629.39/587,462.34
  6. Step 6: Final answer
    x = 609,262.83

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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.