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Finding the Fourth Proportional to 455,509.20, 683,825.40 and 287,029.20

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Solution

The fourth proportional to 455,509.20, 683,825.40 and 287,029.20 is: 430,897.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,509.20 : 683,825.40 = 287,029.20 : x
  2. Step 2: Convert to fraction form
    455,509.20/683,825.40 = 287,029.20/x
  3. Step 3: Cross multiply
    455,509.20x = 683,825.40 × 287,029.20
  4. Step 4: Simplify right side
    455,509.20x = 196,277,857,501.68
  5. Step 5: Solve for x
    x = 196,277,857,501.68/455,509.20
  6. Step 6: Final answer
    x = 430,897.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.