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Finding the Fourth Proportional to 292,458, 403,592.58 and 158,322

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Solution

The fourth proportional to 292,458, 403,592.58 and 158,322 is: 218,484.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,458 : 403,592.58 = 158,322 : x
  2. Step 2: Convert to fraction form
    292,458/403,592.58 = 158,322/x
  3. Step 3: Cross multiply
    292,458x = 403,592.58 × 158,322
  4. Step 4: Simplify right side
    292,458x = 63,897,584,450.76
  5. Step 5: Solve for x
    x = 63,897,584,450.76/292,458
  6. Step 6: Final answer
    x = 218,484.65

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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.