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Finding the Fourth Proportional to 293,307.14, 439,946.12 and 160,446.90

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Solution

The fourth proportional to 293,307.14, 439,946.12 and 160,446.90 is: 240,662.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,307.14 : 439,946.12 = 160,446.90 : x
  2. Step 2: Convert to fraction form
    293,307.14/439,946.12 = 160,446.90/x
  3. Step 3: Cross multiply
    293,307.14x = 439,946.12 × 160,446.90
  4. Step 4: Simplify right side
    293,307.14x = 70,587,991,121.03
  5. Step 5: Solve for x
    x = 70,587,991,121.03/293,307.14
  6. Step 6: Final answer
    x = 240,662.37

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1.5x scale

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.