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Finding the Fourth Proportional to 293,514.60, 440,271.90 and 106,501.80

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Solution

The fourth proportional to 293,514.60, 440,271.90 and 106,501.80 is: 159,752.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,514.60 : 440,271.90 = 106,501.80 : x
  2. Step 2: Convert to fraction form
    293,514.60/440,271.90 = 106,501.80/x
  3. Step 3: Cross multiply
    293,514.60x = 440,271.90 × 106,501.80
  4. Step 4: Simplify right side
    293,514.60x = 46,889,749,839.42
  5. Step 5: Solve for x
    x = 46,889,749,839.42/293,514.60
  6. Step 6: Final answer
    x = 159,752.70

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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.