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Finding the Fourth Proportional to 302,634.82, 416,925.66 and 210,595.87

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Solution

The fourth proportional to 302,634.82, 416,925.66 and 210,595.87 is: 290,127.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,634.82 : 416,925.66 = 210,595.87 : x
  2. Step 2: Convert to fraction form
    302,634.82/416,925.66 = 210,595.87/x
  3. Step 3: Cross multiply
    302,634.82x = 416,925.66 × 210,595.87
  4. Step 4: Simplify right side
    302,634.82x = 87,802,822,093.02
  5. Step 5: Solve for x
    x = 87,802,822,093.02/302,634.82
  6. Step 6: Final answer
    x = 290,127.96

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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.