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Finding the Fourth Proportional to 472,106.82, 651,507.48 and 257,246.94

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Solution

The fourth proportional to 472,106.82, 651,507.48 and 257,246.94 is: 355,000.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,106.82 : 651,507.48 = 257,246.94 : x
  2. Step 2: Convert to fraction form
    472,106.82/651,507.48 = 257,246.94/x
  3. Step 3: Cross multiply
    472,106.82x = 651,507.48 × 257,246.94
  4. Step 4: Simplify right side
    472,106.82x = 167,598,305,617.11
  5. Step 5: Solve for x
    x = 167,598,305,617.11/472,106.82
  6. Step 6: Final answer
    x = 355,000.81

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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.