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Finding the Fourth Proportional to 537,887.36, 742,302.96 and 296,186.60

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Solution

The fourth proportional to 537,887.36, 742,302.96 and 296,186.60 is: 408,747.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,887.36 : 742,302.96 = 296,186.60 : x
  2. Step 2: Convert to fraction form
    537,887.36/742,302.96 = 296,186.60/x
  3. Step 3: Cross multiply
    537,887.36x = 742,302.96 × 296,186.60
  4. Step 4: Simplify right side
    537,887.36x = 219,860,189,892.34
  5. Step 5: Solve for x
    x = 219,860,189,892.34/537,887.36
  6. Step 6: Final answer
    x = 408,747.64

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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.