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Finding the Fourth Proportional to 472,802.38, 652,465.86 and 257,940.92

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Solution

The fourth proportional to 472,802.38, 652,465.86 and 257,940.92 is: 355,957.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,802.38 : 652,465.86 = 257,940.92 : x
  2. Step 2: Convert to fraction form
    472,802.38/652,465.86 = 257,940.92/x
  3. Step 3: Cross multiply
    472,802.38x = 652,465.86 × 257,940.92
  4. Step 4: Simplify right side
    472,802.38x = 168,297,644,196.99
  5. Step 5: Solve for x
    x = 168,297,644,196.99/472,802.38
  6. Step 6: Final answer
    x = 355,957.69

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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.