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Finding the Fourth Proportional to 505,176.14, 697,143.08 and 344,312.21

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Solution

The fourth proportional to 505,176.14, 697,143.08 and 344,312.21 is: 475,150.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,176.14 : 697,143.08 = 344,312.21 : x
  2. Step 2: Convert to fraction form
    505,176.14/697,143.08 = 344,312.21/x
  3. Step 3: Cross multiply
    505,176.14x = 697,143.08 × 344,312.21
  4. Step 4: Simplify right side
    505,176.14x = 240,034,874,561.01
  5. Step 5: Solve for x
    x = 240,034,874,561.01/505,176.14
  6. Step 6: Final answer
    x = 475,150.85

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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.