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Finding the Fourth Proportional to 342,075.63, 472,064.24 and 187,027.46

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Solution

The fourth proportional to 342,075.63, 472,064.24 and 187,027.46 is: 258,097.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,075.63 : 472,064.24 = 187,027.46 : x
  2. Step 2: Convert to fraction form
    342,075.63/472,064.24 = 187,027.46/x
  3. Step 3: Cross multiply
    342,075.63x = 472,064.24 × 187,027.46
  4. Step 4: Simplify right side
    342,075.63x = 88,288,973,871.28
  5. Step 5: Solve for x
    x = 88,288,973,871.28/342,075.63
  6. Step 6: Final answer
    x = 258,097.82

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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.