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Finding the Fourth Proportional to 532,888.56, 735,877.26 and 342,234.09

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Solution

The fourth proportional to 532,888.56, 735,877.26 and 342,234.09 is: 472,598.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,888.56 : 735,877.26 = 342,234.09 : x
  2. Step 2: Convert to fraction form
    532,888.56/735,877.26 = 342,234.09/x
  3. Step 3: Cross multiply
    532,888.56x = 735,877.26 × 342,234.09
  4. Step 4: Simplify right side
    532,888.56x = 251,842,284,427.79
  5. Step 5: Solve for x
    x = 251,842,284,427.79/532,888.56
  6. Step 6: Final answer
    x = 472,598.41

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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.