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Finding the Fourth Proportional to 583,953.39, 805,856.31 and 342,187.83

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Solution

The fourth proportional to 583,953.39, 805,856.31 and 342,187.83 is: 472,219.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,953.39 : 805,856.31 = 342,187.83 : x
  2. Step 2: Convert to fraction form
    583,953.39/805,856.31 = 342,187.83/x
  3. Step 3: Cross multiply
    583,953.39x = 805,856.31 × 342,187.83
  4. Step 4: Simplify right side
    583,953.39x = 275,754,222,010.71
  5. Step 5: Solve for x
    x = 275,754,222,010.71/583,953.39
  6. Step 6: Final answer
    x = 472,219.58

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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.