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Finding the Fourth Proportional to 524,858.44, 783,192.43 and 468,309.64

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Solution

The fourth proportional to 524,858.44, 783,192.43 and 468,309.64 is: 698,810.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,858.44 : 783,192.43 = 468,309.64 : x
  2. Step 2: Convert to fraction form
    524,858.44/783,192.43 = 468,309.64/x
  3. Step 3: Cross multiply
    524,858.44x = 783,192.43 × 468,309.64
  4. Step 4: Simplify right side
    524,858.44x = 366,776,564,944.03
  5. Step 5: Solve for x
    x = 366,776,564,944.03/524,858.44
  6. Step 6: Final answer
    x = 698,810.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.