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Finding the Fourth Proportional to 538,010.63, 742,445.70 and 296,315.69

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Solution

The fourth proportional to 538,010.63, 742,445.70 and 296,315.69 is: 408,910.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,010.63 : 742,445.70 = 296,315.69 : x
  2. Step 2: Convert to fraction form
    538,010.63/742,445.70 = 296,315.69/x
  3. Step 3: Cross multiply
    538,010.63x = 742,445.70 × 296,315.69
  4. Step 4: Simplify right side
    538,010.63x = 219,998,312,296.81
  5. Step 5: Solve for x
    x = 219,998,312,296.81/538,010.63
  6. Step 6: Final answer
    x = 408,910.72

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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.