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Finding the Fourth Proportional to 364,047.92, 502,364.51 and 208,963.38

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Solution

The fourth proportional to 364,047.92, 502,364.51 and 208,963.38 is: 288,357.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,047.92 : 502,364.51 = 208,963.38 : x
  2. Step 2: Convert to fraction form
    364,047.92/502,364.51 = 208,963.38/x
  3. Step 3: Cross multiply
    364,047.92x = 502,364.51 × 208,963.38
  4. Step 4: Simplify right side
    364,047.92x = 104,975,788,799.73
  5. Step 5: Solve for x
    x = 104,975,788,799.73/364,047.92
  6. Step 6: Final answer
    x = 288,357.06

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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.