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Finding the Fourth Proportional to 506,070.48, 698,428.26 and 291,219.60

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Solution

The fourth proportional to 506,070.48, 698,428.26 and 291,219.60 is: 401,912.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,070.48 : 698,428.26 = 291,219.60 : x
  2. Step 2: Convert to fraction form
    506,070.48/698,428.26 = 291,219.60/x
  3. Step 3: Cross multiply
    506,070.48x = 698,428.26 × 291,219.60
  4. Step 4: Simplify right side
    506,070.48x = 203,395,998,505.90
  5. Step 5: Solve for x
    x = 203,395,998,505.90/506,070.48
  6. Step 6: Final answer
    x = 401,912.39

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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.