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Finding the Fourth Proportional to 412,688.62, 569,268.41 and 259,484.01

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Solution

The fourth proportional to 412,688.62, 569,268.41 and 259,484.01 is: 357,935.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,688.62 : 569,268.41 = 259,484.01 : x
  2. Step 2: Convert to fraction form
    412,688.62/569,268.41 = 259,484.01/x
  3. Step 3: Cross multiply
    412,688.62x = 569,268.41 × 259,484.01
  4. Step 4: Simplify right side
    412,688.62x = 147,716,046,360.95
  5. Step 5: Solve for x
    x = 147,716,046,360.95/412,688.62
  6. Step 6: Final answer
    x = 357,935.84

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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.