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Finding the Fourth Proportional to 514,047.11, 770,879.14 and 176,993.51

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Solution

The fourth proportional to 514,047.11, 770,879.14 and 176,993.51 is: 265,424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,047.11 : 770,879.14 = 176,993.51 : x
  2. Step 2: Convert to fraction form
    514,047.11/770,879.14 = 176,993.51/x
  3. Step 3: Cross multiply
    514,047.11x = 770,879.14 × 176,993.51
  4. Step 4: Simplify right side
    514,047.11x = 136,440,604,774.38
  5. Step 5: Solve for x
    x = 136,440,604,774.38/514,047.11
  6. Step 6: Final answer
    x = 265,424.32

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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.