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Finding the Fourth Proportional to 567,097.60, 849,771.60 and 491,864.80

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Solution

The fourth proportional to 567,097.60, 849,771.60 and 491,864.80 is: 737,038.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,097.60 : 849,771.60 = 491,864.80 : x
  2. Step 2: Convert to fraction form
    567,097.60/849,771.60 = 491,864.80/x
  3. Step 3: Cross multiply
    567,097.60x = 849,771.60 × 491,864.80
  4. Step 4: Simplify right side
    567,097.60x = 417,972,738,079.68
  5. Step 5: Solve for x
    x = 417,972,738,079.68/567,097.60
  6. Step 6: Final answer
    x = 737,038.45

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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.