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Finding the Fourth Proportional to 364,064.49, 502,411.32 and 202,929.75

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Solution

The fourth proportional to 364,064.49, 502,411.32 and 202,929.75 is: 280,044.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,064.49 : 502,411.32 = 202,929.75 : x
  2. Step 2: Convert to fraction form
    364,064.49/502,411.32 = 202,929.75/x
  3. Step 3: Cross multiply
    364,064.49x = 502,411.32 × 202,929.75
  4. Step 4: Simplify right side
    364,064.49x = 101,954,203,564.77
  5. Step 5: Solve for x
    x = 101,954,203,564.77/364,064.49
  6. Step 6: Final answer
    x = 280,044.35

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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.