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Finding the Fourth Proportional to 517,776.94, 776,710.32 and 158,028.88

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Solution

The fourth proportional to 517,776.94, 776,710.32 and 158,028.88 is: 237,057.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,776.94 : 776,710.32 = 158,028.88 : x
  2. Step 2: Convert to fraction form
    517,776.94/776,710.32 = 158,028.88/x
  3. Step 3: Cross multiply
    517,776.94x = 776,710.32 × 158,028.88
  4. Step 4: Simplify right side
    517,776.94x = 122,742,661,954.04
  5. Step 5: Solve for x
    x = 122,742,661,954.04/517,776.94
  6. Step 6: Final answer
    x = 237,057.03

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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.