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Finding the Fourth Proportional to 410,186.94, 566,021.06 and 257,176.22

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Solution

The fourth proportional to 410,186.94, 566,021.06 and 257,176.22 is: 354,880.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,186.94 : 566,021.06 = 257,176.22 : x
  2. Step 2: Convert to fraction form
    410,186.94/566,021.06 = 257,176.22/x
  3. Step 3: Cross multiply
    410,186.94x = 566,021.06 × 257,176.22
  4. Step 4: Simplify right side
    410,186.94x = 145,567,152,535.21
  5. Step 5: Solve for x
    x = 145,567,152,535.21/410,186.94
  6. Step 6: Final answer
    x = 354,880.03

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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.