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Finding the Fourth Proportional to 471,525.90, 707,459.37 and 291,400.50

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Solution

The fourth proportional to 471,525.90, 707,459.37 and 291,400.50 is: 437,206.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,525.90 : 707,459.37 = 291,400.50 : x
  2. Step 2: Convert to fraction form
    471,525.90/707,459.37 = 291,400.50/x
  3. Step 3: Cross multiply
    471,525.90x = 707,459.37 × 291,400.50
  4. Step 4: Simplify right side
    471,525.90x = 206,154,014,147.69
  5. Step 5: Solve for x
    x = 206,154,014,147.69/471,525.90
  6. Step 6: Final answer
    x = 437,206.13

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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.