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Finding the Fourth Proportional to 472,523.22, 652,097.79 and 257,675.07

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Solution

The fourth proportional to 472,523.22, 652,097.79 and 257,675.07 is: 355,600.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,523.22 : 652,097.79 = 257,675.07 : x
  2. Step 2: Convert to fraction form
    472,523.22/652,097.79 = 257,675.07/x
  3. Step 3: Cross multiply
    472,523.22x = 652,097.79 × 257,675.07
  4. Step 4: Simplify right side
    472,523.22x = 168,029,346,130.46
  5. Step 5: Solve for x
    x = 168,029,346,130.46/472,523.22
  6. Step 6: Final answer
    x = 355,600.19

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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.