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Finding the Fourth Proportional to 830,564.80, 1,165,940 and 830,564.80

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Solution

The fourth proportional to 830,564.80, 1,165,940 and 830,564.80 is: 1,165,940

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,564.80 : 1,165,940 = 830,564.80 : x
  2. Step 2: Convert to fraction form
    830,564.80/1,165,940 = 830,564.80/x
  3. Step 3: Cross multiply
    830,564.80x = 1,165,940 × 830,564.80
  4. Step 4: Simplify right side
    830,564.80x = 968,388,722,912
  5. Step 5: Solve for x
    x = 968,388,722,912/830,564.80
  6. Step 6: Final answer
    x = 1,165,940

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.