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Finding the Fourth Proportional to 508,594.88, 701,837.28 and 282,238.40

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Solution

The fourth proportional to 508,594.88, 701,837.28 and 282,238.40 is: 389,475.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,594.88 : 701,837.28 = 282,238.40 : x
  2. Step 2: Convert to fraction form
    508,594.88/701,837.28 = 282,238.40/x
  3. Step 3: Cross multiply
    508,594.88x = 701,837.28 × 282,238.40
  4. Step 4: Simplify right side
    508,594.88x = 198,085,430,967.55
  5. Step 5: Solve for x
    x = 198,085,430,967.55/508,594.88
  6. Step 6: Final answer
    x = 389,475.87

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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.