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Finding the Fourth Proportional to 471,149.64, 706,443.48 and 319,533.48

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Solution

The fourth proportional to 471,149.64, 706,443.48 and 319,533.48 is: 479,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,149.64 : 706,443.48 = 319,533.48 : x
  2. Step 2: Convert to fraction form
    471,149.64/706,443.48 = 319,533.48/x
  3. Step 3: Cross multiply
    471,149.64x = 706,443.48 × 319,533.48
  4. Step 4: Simplify right side
    471,149.64x = 225,732,343,587.71
  5. Step 5: Solve for x
    x = 225,732,343,587.71/471,149.64
  6. Step 6: Final answer
    x = 479,109.66

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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.