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Finding the Fourth Proportional to 500,216.96, 690,697.44 and 461,962.53

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Solution

The fourth proportional to 500,216.96, 690,697.44 and 461,962.53 is: 637,875.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,216.96 : 690,697.44 = 461,962.53 : x
  2. Step 2: Convert to fraction form
    500,216.96/690,697.44 = 461,962.53/x
  3. Step 3: Cross multiply
    500,216.96x = 690,697.44 × 461,962.53
  4. Step 4: Simplify right side
    500,216.96x = 319,076,336,846.92
  5. Step 5: Solve for x
    x = 319,076,336,846.92/500,216.96
  6. Step 6: Final answer
    x = 637,875.89

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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.