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Finding the Fourth Proportional to 784,776, 1,177,175.07 and 223,810.50

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Solution

The fourth proportional to 784,776, 1,177,175.07 and 223,810.50 is: 335,718.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,776 : 1,177,175.07 = 223,810.50 : x
  2. Step 2: Convert to fraction form
    784,776/1,177,175.07 = 223,810.50/x
  3. Step 3: Cross multiply
    784,776x = 1,177,175.07 × 223,810.50
  4. Step 4: Simplify right side
    784,776x = 263,464,141,004.24
  5. Step 5: Solve for x
    x = 263,464,141,004.24/784,776
  6. Step 6: Final answer
    x = 335,718.91

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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.