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Finding the Fourth Proportional to 577,406.40, 866,109.60 and 156,734.40

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Solution

The fourth proportional to 577,406.40, 866,109.60 and 156,734.40 is: 235,101.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,406.40 : 866,109.60 = 156,734.40 : x
  2. Step 2: Convert to fraction form
    577,406.40/866,109.60 = 156,734.40/x
  3. Step 3: Cross multiply
    577,406.40x = 866,109.60 × 156,734.40
  4. Step 4: Simplify right side
    577,406.40x = 135,749,168,490.24
  5. Step 5: Solve for x
    x = 135,749,168,490.24/577,406.40
  6. Step 6: Final answer
    x = 235,101.60

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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.