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Finding the Fourth Proportional to 290,822.40, 435,196.80 and 201,657.60

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Solution

The fourth proportional to 290,822.40, 435,196.80 and 201,657.60 is: 301,767.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,822.40 : 435,196.80 = 201,657.60 : x
  2. Step 2: Convert to fraction form
    290,822.40/435,196.80 = 201,657.60/x
  3. Step 3: Cross multiply
    290,822.40x = 435,196.80 × 201,657.60
  4. Step 4: Simplify right side
    290,822.40x = 87,760,742,215.68
  5. Step 5: Solve for x
    x = 87,760,742,215.68/290,822.40
  6. Step 6: Final answer
    x = 301,767.48

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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.