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Finding the Fourth Proportional to 369,255.42, 509,573.86 and 233,349.78

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Solution

The fourth proportional to 369,255.42, 509,573.86 and 233,349.78 is: 322,023.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,255.42 : 509,573.86 = 233,349.78 : x
  2. Step 2: Convert to fraction form
    369,255.42/509,573.86 = 233,349.78/x
  3. Step 3: Cross multiply
    369,255.42x = 509,573.86 × 233,349.78
  4. Step 4: Simplify right side
    369,255.42x = 118,908,948,124.75
  5. Step 5: Solve for x
    x = 118,908,948,124.75/369,255.42
  6. Step 6: Final answer
    x = 322,023.57

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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.