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Finding the Fourth Proportional to 307,801.60, 461,356.80 and 130,278.40

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Solution

The fourth proportional to 307,801.60, 461,356.80 and 130,278.40 is: 195,271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,801.60 : 461,356.80 = 130,278.40 : x
  2. Step 2: Convert to fraction form
    307,801.60/461,356.80 = 130,278.40/x
  3. Step 3: Cross multiply
    307,801.60x = 461,356.80 × 130,278.40
  4. Step 4: Simplify right side
    307,801.60x = 60,104,825,733.12
  5. Step 5: Solve for x
    x = 60,104,825,733.12/307,801.60
  6. Step 6: Final answer
    x = 195,271.32

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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.