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Finding the Fourth Proportional to 534,114, 737,077.32 and 295,650

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Solution

The fourth proportional to 534,114, 737,077.32 and 295,650 is: 407,997

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,114 : 737,077.32 = 295,650 : x
  2. Step 2: Convert to fraction form
    534,114/737,077.32 = 295,650/x
  3. Step 3: Cross multiply
    534,114x = 737,077.32 × 295,650
  4. Step 4: Simplify right side
    534,114x = 217,916,909,658
  5. Step 5: Solve for x
    x = 217,916,909,658/534,114
  6. Step 6: Final answer
    x = 407,997

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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.