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Finding the Fourth Proportional to 305,195.40, 457,793.10 and 260,094.60

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Solution

The fourth proportional to 305,195.40, 457,793.10 and 260,094.60 is: 390,141.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,195.40 : 457,793.10 = 260,094.60 : x
  2. Step 2: Convert to fraction form
    305,195.40/457,793.10 = 260,094.60/x
  3. Step 3: Cross multiply
    305,195.40x = 457,793.10 × 260,094.60
  4. Step 4: Simplify right side
    305,195.40x = 119,069,513,227.26
  5. Step 5: Solve for x
    x = 119,069,513,227.26/305,195.40
  6. Step 6: Final answer
    x = 390,141.90

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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.