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Finding the Fourth Proportional to 465,653.16, 694,404.36 and 461,396.52

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Solution

The fourth proportional to 465,653.16, 694,404.36 and 461,396.52 is: 688,056.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,653.16 : 694,404.36 = 461,396.52 : x
  2. Step 2: Convert to fraction form
    465,653.16/694,404.36 = 461,396.52/x
  3. Step 3: Cross multiply
    465,653.16x = 694,404.36 × 461,396.52
  4. Step 4: Simplify right side
    465,653.16x = 320,395,755,176.83
  5. Step 5: Solve for x
    x = 320,395,755,176.83/465,653.16
  6. Step 6: Final answer
    x = 688,056.65

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.