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Finding the Fourth Proportional to 472,783.16, 652,429.80 and 257,930.79

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Solution

The fourth proportional to 472,783.16, 652,429.80 and 257,930.79 is: 355,938.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,783.16 : 652,429.80 = 257,930.79 : x
  2. Step 2: Convert to fraction form
    472,783.16/652,429.80 = 257,930.79/x
  3. Step 3: Cross multiply
    472,783.16x = 652,429.80 × 257,930.79
  4. Step 4: Simplify right side
    472,783.16x = 168,281,733,733.54
  5. Step 5: Solve for x
    x = 168,281,733,733.54/472,783.16
  6. Step 6: Final answer
    x = 355,938.51

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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.