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Finding the Fourth Proportional to 472,686.27, 652,309.07 and 257,830.95

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Solution

The fourth proportional to 472,686.27, 652,309.07 and 257,830.95 is: 355,807.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,686.27 : 652,309.07 = 257,830.95 : x
  2. Step 2: Convert to fraction form
    472,686.27/652,309.07 = 257,830.95/x
  3. Step 3: Cross multiply
    472,686.27x = 652,309.07 × 257,830.95
  4. Step 4: Simplify right side
    472,686.27x = 168,185,465,922.56
  5. Step 5: Solve for x
    x = 168,185,465,922.56/472,686.27
  6. Step 6: Final answer
    x = 355,807.81

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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.