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Finding the Fourth Proportional to 423,820.95, 584,873.12 and 232,846.63

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Solution

The fourth proportional to 423,820.95, 584,873.12 and 232,846.63 is: 321,328.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,820.95 : 584,873.12 = 232,846.63 : x
  2. Step 2: Convert to fraction form
    423,820.95/584,873.12 = 232,846.63/x
  3. Step 3: Cross multiply
    423,820.95x = 584,873.12 × 232,846.63
  4. Step 4: Simplify right side
    423,820.95x = 136,185,734,969.59
  5. Step 5: Solve for x
    x = 136,185,734,969.59/423,820.95
  6. Step 6: Final answer
    x = 321,328.46

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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.