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Finding the Fourth Proportional to 430,844, 594,177.64 and 269,713.72

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Solution

The fourth proportional to 430,844, 594,177.64 and 269,713.72 is: 371,962.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,844 : 594,177.64 = 269,713.72 : x
  2. Step 2: Convert to fraction form
    430,844/594,177.64 = 269,713.72/x
  3. Step 3: Cross multiply
    430,844x = 594,177.64 × 269,713.72
  4. Step 4: Simplify right side
    430,844x = 160,257,861,625.22
  5. Step 5: Solve for x
    x = 160,257,861,625.22/430,844
  6. Step 6: Final answer
    x = 371,962.62

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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.