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Finding the Fourth Proportional to 290,431.60, 435,647.40 and 243,775.60

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Solution

The fourth proportional to 290,431.60, 435,647.40 and 243,775.60 is: 365,663.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,431.60 : 435,647.40 = 243,775.60 : x
  2. Step 2: Convert to fraction form
    290,431.60/435,647.40 = 243,775.60/x
  3. Step 3: Cross multiply
    290,431.60x = 435,647.40 × 243,775.60
  4. Step 4: Simplify right side
    290,431.60x = 106,200,206,323.44
  5. Step 5: Solve for x
    x = 106,200,206,323.44/290,431.60
  6. Step 6: Final answer
    x = 365,663.40

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1.5x scale

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.