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Finding the Fourth Proportional to 293,894.30, 440,841.45 and 146,438.30

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Solution

The fourth proportional to 293,894.30, 440,841.45 and 146,438.30 is: 219,657.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,894.30 : 440,841.45 = 146,438.30 : x
  2. Step 2: Convert to fraction form
    293,894.30/440,841.45 = 146,438.30/x
  3. Step 3: Cross multiply
    293,894.30x = 440,841.45 × 146,438.30
  4. Step 4: Simplify right side
    293,894.30x = 64,556,072,507.54
  5. Step 5: Solve for x
    x = 64,556,072,507.54/293,894.30
  6. Step 6: Final answer
    x = 219,657.45

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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.