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Finding the Fourth Proportional to 455,313.20, 683,531.40 and 286,833.20

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Solution

The fourth proportional to 455,313.20, 683,531.40 and 286,833.20 is: 430,603.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,313.20 : 683,531.40 = 286,833.20 : x
  2. Step 2: Convert to fraction form
    455,313.20/683,531.40 = 286,833.20/x
  3. Step 3: Cross multiply
    455,313.20x = 683,531.40 × 286,833.20
  4. Step 4: Simplify right side
    455,313.20x = 196,059,498,762.48
  5. Step 5: Solve for x
    x = 196,059,498,762.48/455,313.20
  6. Step 6: Final answer
    x = 430,603.59

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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.