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Finding the Fourth Proportional to 532,297, 734,570.34 and 293,833

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Solution

The fourth proportional to 532,297, 734,570.34 and 293,833 is: 405,489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,297 : 734,570.34 = 293,833 : x
  2. Step 2: Convert to fraction form
    532,297/734,570.34 = 293,833/x
  3. Step 3: Cross multiply
    532,297x = 734,570.34 × 293,833
  4. Step 4: Simplify right side
    532,297x = 215,841,006,713.22
  5. Step 5: Solve for x
    x = 215,841,006,713.22/532,297
  6. Step 6: Final answer
    x = 405,489.80

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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.