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Finding the Fourth Proportional to 584,029.47, 805,745.13 and 342,223.81

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Solution

The fourth proportional to 584,029.47, 805,745.13 and 342,223.81 is: 472,142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,029.47 : 805,745.13 = 342,223.81 : x
  2. Step 2: Convert to fraction form
    584,029.47/805,745.13 = 342,223.81/x
  3. Step 3: Cross multiply
    584,029.47x = 805,745.13 × 342,223.81
  4. Step 4: Simplify right side
    584,029.47x = 275,745,169,652.26
  5. Step 5: Solve for x
    x = 275,745,169,652.26/584,029.47
  6. Step 6: Final answer
    x = 472,142.56

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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.