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Finding the Fourth Proportional to 369,084.81, 509,338.71 and 207,942.33

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Solution

The fourth proportional to 369,084.81, 509,338.71 and 207,942.33 is: 286,961.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,084.81 : 509,338.71 = 207,942.33 : x
  2. Step 2: Convert to fraction form
    369,084.81/509,338.71 = 207,942.33/x
  3. Step 3: Cross multiply
    369,084.81x = 509,338.71 × 207,942.33
  4. Step 4: Simplify right side
    369,084.81x = 105,913,078,116.59
  5. Step 5: Solve for x
    x = 105,913,078,116.59/369,084.81
  6. Step 6: Final answer
    x = 286,961.36

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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.