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Finding the Fourth Proportional to 389,465.60, 583,874.40 and 164,998.40

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Solution

The fourth proportional to 389,465.60, 583,874.40 and 164,998.40 is: 247,360.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,465.60 : 583,874.40 = 164,998.40 : x
  2. Step 2: Convert to fraction form
    389,465.60/583,874.40 = 164,998.40/x
  3. Step 3: Cross multiply
    389,465.60x = 583,874.40 × 164,998.40
  4. Step 4: Simplify right side
    389,465.60x = 96,338,341,800.96
  5. Step 5: Solve for x
    x = 96,338,341,800.96/389,465.60
  6. Step 6: Final answer
    x = 247,360.34

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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.