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Finding the Fourth Proportional to 583,953.88, 805,857.02 and 342,188.32

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Solution

The fourth proportional to 583,953.88, 805,857.02 and 342,188.32 is: 472,220.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,953.88 : 805,857.02 = 342,188.32 : x
  2. Step 2: Convert to fraction form
    583,953.88/805,857.02 = 342,188.32/x
  3. Step 3: Cross multiply
    583,953.88x = 805,857.02 × 342,188.32
  4. Step 4: Simplify right side
    583,953.88x = 275,754,859,834.01
  5. Step 5: Solve for x
    x = 275,754,859,834.01/583,953.88
  6. Step 6: Final answer
    x = 472,220.27

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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.