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Finding the Fourth Proportional to 517,864.07, 776,796.16 and 158,036.81

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Solution

The fourth proportional to 517,864.07, 776,796.16 and 158,036.81 is: 237,055.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,864.07 : 776,796.16 = 158,036.81 : x
  2. Step 2: Convert to fraction form
    517,864.07/776,796.16 = 158,036.81/x
  3. Step 3: Cross multiply
    517,864.07x = 776,796.16 × 158,036.81
  4. Step 4: Simplify right side
    517,864.07x = 122,762,382,867.58
  5. Step 5: Solve for x
    x = 122,762,382,867.58/517,864.07
  6. Step 6: Final answer
    x = 237,055.23

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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.