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Finding the Fourth Proportional to 709,644.95, 979,163.84 and 407,780.63

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Solution

The fourth proportional to 709,644.95, 979,163.84 and 407,780.63 is: 562,653.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,644.95 : 979,163.84 = 407,780.63 : x
  2. Step 2: Convert to fraction form
    709,644.95/979,163.84 = 407,780.63/x
  3. Step 3: Cross multiply
    709,644.95x = 979,163.84 × 407,780.63
  4. Step 4: Simplify right side
    709,644.95x = 399,284,047,548.42
  5. Step 5: Solve for x
    x = 399,284,047,548.42/709,644.95
  6. Step 6: Final answer
    x = 562,653.26

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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.