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Finding the Fourth Proportional to 506,144.70, 698,458.41 and 291,292.20

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Solution

The fourth proportional to 506,144.70, 698,458.41 and 291,292.20 is: 401,970.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,144.70 : 698,458.41 = 291,292.20 : x
  2. Step 2: Convert to fraction form
    506,144.70/698,458.41 = 291,292.20/x
  3. Step 3: Cross multiply
    506,144.70x = 698,458.41 × 291,292.20
  4. Step 4: Simplify right side
    506,144.70x = 203,455,486,857.40
  5. Step 5: Solve for x
    x = 203,455,486,857.40/506,144.70
  6. Step 6: Final answer
    x = 401,970.99

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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.