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Finding the Fourth Proportional to 403,654.60, 604,607.10 and 333,670.60

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Solution

The fourth proportional to 403,654.60, 604,607.10 and 333,670.60 is: 499,782.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,654.60 : 604,607.10 = 333,670.60 : x
  2. Step 2: Convert to fraction form
    403,654.60/604,607.10 = 333,670.60/x
  3. Step 3: Cross multiply
    403,654.60x = 604,607.10 × 333,670.60
  4. Step 4: Simplify right side
    403,654.60x = 201,739,613,821.26
  5. Step 5: Solve for x
    x = 201,739,613,821.26/403,654.60
  6. Step 6: Final answer
    x = 499,782.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.