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Finding the Fourth Proportional to 257,794.23, 355,798.80 and 150,364.26

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Solution

The fourth proportional to 257,794.23, 355,798.80 and 150,364.26 is: 207,527.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,794.23 : 355,798.80 = 150,364.26 : x
  2. Step 2: Convert to fraction form
    257,794.23/355,798.80 = 150,364.26/x
  3. Step 3: Cross multiply
    257,794.23x = 355,798.80 × 150,364.26
  4. Step 4: Simplify right side
    257,794.23x = 53,499,423,270.89
  5. Step 5: Solve for x
    x = 53,499,423,270.89/257,794.23
  6. Step 6: Final answer
    x = 207,527.62

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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.