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Finding the Fourth Proportional to 315,264.94, 435,075.23 and 179,318.48

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Solution

The fourth proportional to 315,264.94, 435,075.23 and 179,318.48 is: 247,464.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,264.94 : 435,075.23 = 179,318.48 : x
  2. Step 2: Convert to fraction form
    315,264.94/435,075.23 = 179,318.48/x
  3. Step 3: Cross multiply
    315,264.94x = 435,075.23 × 179,318.48
  4. Step 4: Simplify right side
    315,264.94x = 78,017,026,753.87
  5. Step 5: Solve for x
    x = 78,017,026,753.87/315,264.94
  6. Step 6: Final answer
    x = 247,464.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.