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Finding the Fourth Proportional to 369,657.41, 509,785.85 and 233,454.29

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Solution

The fourth proportional to 369,657.41, 509,785.85 and 233,454.29 is: 321,951.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,657.41 : 509,785.85 = 233,454.29 : x
  2. Step 2: Convert to fraction form
    369,657.41/509,785.85 = 233,454.29/x
  3. Step 3: Cross multiply
    369,657.41x = 509,785.85 × 233,454.29
  4. Step 4: Simplify right side
    369,657.41x = 119,011,691,698.50
  5. Step 5: Solve for x
    x = 119,011,691,698.50/369,657.41
  6. Step 6: Final answer
    x = 321,951.33

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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.