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Finding the Fourth Proportional to 506,199.14, 698,730.73 and 291,424.80

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Solution

The fourth proportional to 506,199.14, 698,730.73 and 291,424.80 is: 402,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,199.14 : 698,730.73 = 291,424.80 : x
  2. Step 2: Convert to fraction form
    506,199.14/698,730.73 = 291,424.80/x
  3. Step 3: Cross multiply
    506,199.14x = 698,730.73 × 291,424.80
  4. Step 4: Simplify right side
    506,199.14x = 203,627,463,244.10
  5. Step 5: Solve for x
    x = 203,627,463,244.10/506,199.14
  6. Step 6: Final answer
    x = 402,267.50

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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.