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Finding the Fourth Proportional to 517,810.26, 776,833.02 and 158,013.28

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Solution

The fourth proportional to 517,810.26, 776,833.02 and 158,013.28 is: 237,055.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,810.26 : 776,833.02 = 158,013.28 : x
  2. Step 2: Convert to fraction form
    517,810.26/776,833.02 = 158,013.28/x
  3. Step 3: Cross multiply
    517,810.26x = 776,833.02 × 158,013.28
  4. Step 4: Simplify right side
    517,810.26x = 122,749,933,502.51
  5. Step 5: Solve for x
    x = 122,749,933,502.51/517,810.26
  6. Step 6: Final answer
    x = 237,055.82

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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.