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Finding the Fourth Proportional to 290,143.98, 400,427.46 and 162,820.08

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Solution

The fourth proportional to 290,143.98, 400,427.46 and 162,820.08 is: 224,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,143.98 : 400,427.46 = 162,820.08 : x
  2. Step 2: Convert to fraction form
    290,143.98/400,427.46 = 162,820.08/x
  3. Step 3: Cross multiply
    290,143.98x = 400,427.46 × 162,820.08
  4. Step 4: Simplify right side
    290,143.98x = 65,197,631,071.40
  5. Step 5: Solve for x
    x = 65,197,631,071.40/290,143.98
  6. Step 6: Final answer
    x = 224,707.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.