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Finding the Fourth Proportional to 695,868.14, 960,281.72 and 409,406.64

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Solution

The fourth proportional to 695,868.14, 960,281.72 and 409,406.64 is: 564,971.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,868.14 : 960,281.72 = 409,406.64 : x
  2. Step 2: Convert to fraction form
    695,868.14/960,281.72 = 409,406.64/x
  3. Step 3: Cross multiply
    695,868.14x = 960,281.72 × 409,406.64
  4. Step 4: Simplify right side
    695,868.14x = 393,145,712,438.62
  5. Step 5: Solve for x
    x = 393,145,712,438.62/695,868.14
  6. Step 6: Final answer
    x = 564,971.57

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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.