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Finding the Fourth Proportional to 301,089, 415,567.62 and 180,257.26

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Solution

The fourth proportional to 301,089, 415,567.62 and 180,257.26 is: 248,793.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,089 : 415,567.62 = 180,257.26 : x
  2. Step 2: Convert to fraction form
    301,089/415,567.62 = 180,257.26/x
  3. Step 3: Cross multiply
    301,089x = 415,567.62 × 180,257.26
  4. Step 4: Simplify right side
    301,089x = 74,909,080,525.92
  5. Step 5: Solve for x
    x = 74,909,080,525.92/301,089
  6. Step 6: Final answer
    x = 248,793.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.