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Finding the Fourth Proportional to 430,388.40, 593,693.28 and 258,260.64

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Solution

The fourth proportional to 430,388.40, 593,693.28 and 258,260.64 is: 356,254.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,388.40 : 593,693.28 = 258,260.64 : x
  2. Step 2: Convert to fraction form
    430,388.40/593,693.28 = 258,260.64/x
  3. Step 3: Cross multiply
    430,388.40x = 593,693.28 × 258,260.64
  4. Step 4: Simplify right side
    430,388.40x = 153,327,606,456.50
  5. Step 5: Solve for x
    x = 153,327,606,456.50/430,388.40
  6. Step 6: Final answer
    x = 356,254.04

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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.