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Finding the Fourth Proportional to 369,093.78, 509,351.16 and 207,951.30

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Solution

The fourth proportional to 369,093.78, 509,351.16 and 207,951.30 is: 286,973.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,093.78 : 509,351.16 = 207,951.30 : x
  2. Step 2: Convert to fraction form
    369,093.78/509,351.16 = 207,951.30/x
  3. Step 3: Cross multiply
    369,093.78x = 509,351.16 × 207,951.30
  4. Step 4: Simplify right side
    369,093.78x = 105,920,235,878.51
  5. Step 5: Solve for x
    x = 105,920,235,878.51/369,093.78
  6. Step 6: Final answer
    x = 286,973.78

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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.