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Finding the Fourth Proportional to 301,368, 415,907.28 and 167,232

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Solution

The fourth proportional to 301,368, 415,907.28 and 167,232 is: 230,790.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,368 : 415,907.28 = 167,232 : x
  2. Step 2: Convert to fraction form
    301,368/415,907.28 = 167,232/x
  3. Step 3: Cross multiply
    301,368x = 415,907.28 × 167,232
  4. Step 4: Simplify right side
    301,368x = 69,553,006,248.96
  5. Step 5: Solve for x
    x = 69,553,006,248.96/301,368
  6. Step 6: Final answer
    x = 230,790.95

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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.