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Finding the Fourth Proportional to 320,427.80, 480,065.70 and 153,848.60

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Solution

The fourth proportional to 320,427.80, 480,065.70 and 153,848.60 is: 230,496.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,427.80 : 480,065.70 = 153,848.60 : x
  2. Step 2: Convert to fraction form
    320,427.80/480,065.70 = 153,848.60/x
  3. Step 3: Cross multiply
    320,427.80x = 480,065.70 × 153,848.60
  4. Step 4: Simplify right side
    320,427.80x = 73,857,435,853.02
  5. Step 5: Solve for x
    x = 73,857,435,853.02/320,427.80
  6. Step 6: Final answer
    x = 230,496.34

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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.