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Finding the Fourth Proportional to 695,892.42, 960,241.77 and 409,307.94

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Solution

The fourth proportional to 695,892.42, 960,241.77 and 409,307.94 is: 564,792.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,892.42 : 960,241.77 = 409,307.94 : x
  2. Step 2: Convert to fraction form
    695,892.42/960,241.77 = 409,307.94/x
  3. Step 3: Cross multiply
    695,892.42x = 960,241.77 × 409,307.94
  4. Step 4: Simplify right side
    695,892.42x = 393,034,580,780.65
  5. Step 5: Solve for x
    x = 393,034,580,780.65/695,892.42
  6. Step 6: Final answer
    x = 564,792.16

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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.