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Finding the Fourth Proportional to 430,213.32, 593,452.26 and 258,085.47

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Solution

The fourth proportional to 430,213.32, 593,452.26 and 258,085.47 is: 356,012.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,213.32 : 593,452.26 = 258,085.47 : x
  2. Step 2: Convert to fraction form
    430,213.32/593,452.26 = 258,085.47/x
  3. Step 3: Cross multiply
    430,213.32x = 593,452.26 × 258,085.47
  4. Step 4: Simplify right side
    430,213.32x = 153,161,405,444.66
  5. Step 5: Solve for x
    x = 153,161,405,444.66/430,213.32
  6. Step 6: Final answer
    x = 356,012.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.