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Finding the Fourth Proportional to 369,264.64, 509,584.56 and 199,498.24

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Solution

The fourth proportional to 369,264.64, 509,584.56 and 199,498.24 is: 275,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,264.64 : 509,584.56 = 199,498.24 : x
  2. Step 2: Convert to fraction form
    369,264.64/509,584.56 = 199,498.24/x
  3. Step 3: Cross multiply
    369,264.64x = 509,584.56 × 199,498.24
  4. Step 4: Simplify right side
    369,264.64x = 101,661,222,851.17
  5. Step 5: Solve for x
    x = 101,661,222,851.17/369,264.64
  6. Step 6: Final answer
    x = 275,307.22

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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.