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Finding the Fourth Proportional to 364,084.72, 502,454.16 and 202,940.92

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Solution

The fourth proportional to 364,084.72, 502,454.16 and 202,940.92 is: 280,068.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,084.72 : 502,454.16 = 202,940.92 : x
  2. Step 2: Convert to fraction form
    364,084.72/502,454.16 = 202,940.92/x
  3. Step 3: Cross multiply
    364,084.72x = 502,454.16 × 202,940.92
  4. Step 4: Simplify right side
    364,084.72x = 101,968,509,488.23
  5. Step 5: Solve for x
    x = 101,968,509,488.23/364,084.72
  6. Step 6: Final answer
    x = 280,068.08

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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.