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Finding the Fourth Proportional to 593,032, 889,640.16 and 199,140.16

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Solution

The fourth proportional to 593,032, 889,640.16 and 199,140.16 is: 298,741.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,032 : 889,640.16 = 199,140.16 : x
  2. Step 2: Convert to fraction form
    593,032/889,640.16 = 199,140.16/x
  3. Step 3: Cross multiply
    593,032x = 889,640.16 × 199,140.16
  4. Step 4: Simplify right side
    593,032x = 177,163,083,804.83
  5. Step 5: Solve for x
    x = 177,163,083,804.83/593,032
  6. Step 6: Final answer
    x = 298,741.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.