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Finding the Fourth Proportional to 389,633.30, 583,465.80 and 310,901.30

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Solution

The fourth proportional to 389,633.30, 583,465.80 and 310,901.30 is: 465,566.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,633.30 : 583,465.80 = 310,901.30 : x
  2. Step 2: Convert to fraction form
    389,633.30/583,465.80 = 310,901.30/x
  3. Step 3: Cross multiply
    389,633.30x = 583,465.80 × 310,901.30
  4. Step 4: Simplify right side
    389,633.30x = 181,400,275,725.54
  5. Step 5: Solve for x
    x = 181,400,275,725.54/389,633.30
  6. Step 6: Final answer
    x = 465,566.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.