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Finding the Fourth Proportional to 412,681.84, 569,259.12 and 259,477.26

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Solution

The fourth proportional to 412,681.84, 569,259.12 and 259,477.26 is: 357,926.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,681.84 : 569,259.12 = 259,477.26 : x
  2. Step 2: Convert to fraction form
    412,681.84/569,259.12 = 259,477.26/x
  3. Step 3: Cross multiply
    412,681.84x = 569,259.12 × 259,477.26
  4. Step 4: Simplify right side
    412,681.84x = 147,709,795,525.93
  5. Step 5: Solve for x
    x = 147,709,795,525.93/412,681.84
  6. Step 6: Final answer
    x = 357,926.57

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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.