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Finding the Fourth Proportional to 464,561.60, 697,360.80 and 434,105.60

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Solution

The fourth proportional to 464,561.60, 697,360.80 and 434,105.60 is: 651,642.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,561.60 : 697,360.80 = 434,105.60 : x
  2. Step 2: Convert to fraction form
    464,561.60/697,360.80 = 434,105.60/x
  3. Step 3: Cross multiply
    464,561.60x = 697,360.80 × 434,105.60
  4. Step 4: Simplify right side
    464,561.60x = 302,728,228,500.48
  5. Step 5: Solve for x
    x = 302,728,228,500.48/464,561.60
  6. Step 6: Final answer
    x = 651,642.81

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