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Finding the Fourth Proportional to 467,029.52, 700,642.68 and 151,461.82

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Solution

The fourth proportional to 467,029.52, 700,642.68 and 151,461.82 is: 227,224.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,029.52 : 700,642.68 = 151,461.82 : x
  2. Step 2: Convert to fraction form
    467,029.52/700,642.68 = 151,461.82/x
  3. Step 3: Cross multiply
    467,029.52x = 700,642.68 × 151,461.82
  4. Step 4: Simplify right side
    467,029.52x = 106,120,615,482.48
  5. Step 5: Solve for x
    x = 106,120,615,482.48/467,029.52
  6. Step 6: Final answer
    x = 227,224.64

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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.