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Finding the Fourth Proportional to 430,705.30, 594,368.13 and 251,857.30

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Solution

The fourth proportional to 430,705.30, 594,368.13 and 251,857.30 is: 347,560.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,705.30 : 594,368.13 = 251,857.30 : x
  2. Step 2: Convert to fraction form
    430,705.30/594,368.13 = 251,857.30/x
  3. Step 3: Cross multiply
    430,705.30x = 594,368.13 × 251,857.30
  4. Step 4: Simplify right side
    430,705.30x = 149,695,952,427.85
  5. Step 5: Solve for x
    x = 149,695,952,427.85/430,705.30
  6. Step 6: Final answer
    x = 347,560.04

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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.