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Finding the Fourth Proportional to 465,666.60, 697,463.10 and 403,458.60

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Solution

The fourth proportional to 465,666.60, 697,463.10 and 403,458.60 is: 604,289.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,666.60 : 697,463.10 = 403,458.60 : x
  2. Step 2: Convert to fraction form
    465,666.60/697,463.10 = 403,458.60/x
  3. Step 3: Cross multiply
    465,666.60x = 697,463.10 × 403,458.60
  4. Step 4: Simplify right side
    465,666.60x = 281,397,485,877.66
  5. Step 5: Solve for x
    x = 281,397,485,877.66/465,666.60
  6. Step 6: Final answer
    x = 604,289.61

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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.