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Finding the Fourth Proportional to 523,901.07, 785,194.65 and 224,029.71

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Solution

The fourth proportional to 523,901.07, 785,194.65 and 224,029.71 is: 335,763.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,901.07 : 785,194.65 = 224,029.71 : x
  2. Step 2: Convert to fraction form
    523,901.07/785,194.65 = 224,029.71/x
  3. Step 3: Cross multiply
    523,901.07x = 785,194.65 × 224,029.71
  4. Step 4: Simplify right side
    523,901.07x = 175,906,929,733.05
  5. Step 5: Solve for x
    x = 175,906,929,733.05/523,901.07
  6. Step 6: Final answer
    x = 335,763.64

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.