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Finding the Fourth Proportional to 430,633, 645,530.37 and 205,935.13

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Solution

The fourth proportional to 430,633, 645,530.37 and 205,935.13 is: 308,702.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,633 : 645,530.37 = 205,935.13 : x
  2. Step 2: Convert to fraction form
    430,633/645,530.37 = 205,935.13/x
  3. Step 3: Cross multiply
    430,633x = 645,530.37 × 205,935.13
  4. Step 4: Simplify right side
    430,633x = 132,937,380,664.90
  5. Step 5: Solve for x
    x = 132,937,380,664.90/430,633
  6. Step 6: Final answer
    x = 308,702.26

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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.