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Finding the Fourth Proportional to 577,784.40, 867,188.60 and 340,830.80

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Solution

The fourth proportional to 577,784.40, 867,188.60 and 340,830.80 is: 511,548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,784.40 : 867,188.60 = 340,830.80 : x
  2. Step 2: Convert to fraction form
    577,784.40/867,188.60 = 340,830.80/x
  3. Step 3: Cross multiply
    577,784.40x = 867,188.60 × 340,830.80
  4. Step 4: Simplify right side
    577,784.40x = 295,564,584,288.88
  5. Step 5: Solve for x
    x = 295,564,584,288.88/577,784.40
  6. Step 6: Final answer
    x = 511,548.23

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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.