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Finding the Fourth Proportional to 583,921.32, 805,821.92 and 342,272.40

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Solution

The fourth proportional to 583,921.32, 805,821.92 and 342,272.40 is: 472,342.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,921.32 : 805,821.92 = 342,272.40 : x
  2. Step 2: Convert to fraction form
    583,921.32/805,821.92 = 342,272.40/x
  3. Step 3: Cross multiply
    583,921.32x = 805,821.92 × 342,272.40
  4. Step 4: Simplify right side
    583,921.32x = 275,810,602,531.01
  5. Step 5: Solve for x
    x = 275,810,602,531.01/583,921.32
  6. Step 6: Final answer
    x = 472,342.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.