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Finding the Fourth Proportional to 583,412.80, 875,216.40 and 228,438.40

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Solution

The fourth proportional to 583,412.80, 875,216.40 and 228,438.40 is: 342,695.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,412.80 : 875,216.40 = 228,438.40 : x
  2. Step 2: Convert to fraction form
    583,412.80/875,216.40 = 228,438.40/x
  3. Step 3: Cross multiply
    583,412.80x = 875,216.40 × 228,438.40
  4. Step 4: Simplify right side
    583,412.80x = 199,933,034,069.76
  5. Step 5: Solve for x
    x = 199,933,034,069.76/583,412.80
  6. Step 6: Final answer
    x = 342,695.66

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Why These Related Problems?

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