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Finding the Fourth Proportional to 543,123.82, 749,488.71 and 301,416.58

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Solution

The fourth proportional to 543,123.82, 749,488.71 and 301,416.58 is: 415,942.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,123.82 : 749,488.71 = 301,416.58 : x
  2. Step 2: Convert to fraction form
    543,123.82/749,488.71 = 301,416.58/x
  3. Step 3: Cross multiply
    543,123.82x = 749,488.71 × 301,416.58
  4. Step 4: Simplify right side
    543,123.82x = 225,908,323,716.81
  5. Step 5: Solve for x
    x = 225,908,323,716.81/543,123.82
  6. Step 6: Final answer
    x = 415,942.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.