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Finding the Fourth Proportional to 369,036.92, 509,272.74 and 207,894.51

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Solution

The fourth proportional to 369,036.92, 509,272.74 and 207,894.51 is: 286,895.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,036.92 : 509,272.74 = 207,894.51 : x
  2. Step 2: Convert to fraction form
    369,036.92/509,272.74 = 207,894.51/x
  3. Step 3: Cross multiply
    369,036.92x = 509,272.74 × 207,894.51
  4. Step 4: Simplify right side
    369,036.92x = 105,875,006,738.66
  5. Step 5: Solve for x
    x = 105,875,006,738.66/369,036.92
  6. Step 6: Final answer
    x = 286,895.44

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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.