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Finding the Fourth Proportional to 295,566.87, 407,023.19 and 256,786.76

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Solution

The fourth proportional to 295,566.87, 407,023.19 and 256,786.76 is: 353,619.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,566.87 : 407,023.19 = 256,786.76 : x
  2. Step 2: Convert to fraction form
    295,566.87/407,023.19 = 256,786.76/x
  3. Step 3: Cross multiply
    295,566.87x = 407,023.19 × 256,786.76
  4. Step 4: Simplify right side
    295,566.87x = 104,518,162,885.92
  5. Step 5: Solve for x
    x = 104,518,162,885.92/295,566.87
  6. Step 6: Final answer
    x = 353,619.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.