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Finding the Fourth Proportional to 364,100.87, 502,448.75 and 202,952.46

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Solution

The fourth proportional to 364,100.87, 502,448.75 and 202,952.46 is: 280,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,100.87 : 502,448.75 = 202,952.46 : x
  2. Step 2: Convert to fraction form
    364,100.87/502,448.75 = 202,952.46/x
  3. Step 3: Cross multiply
    364,100.87x = 502,448.75 × 202,952.46
  4. Step 4: Simplify right side
    364,100.87x = 101,973,208,821.66
  5. Step 5: Solve for x
    x = 101,973,208,821.66/364,100.87
  6. Step 6: Final answer
    x = 280,068.57

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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.