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Finding the Fourth Proportional to 290,423.10, 435,634.65 and 243,767.10

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Solution

The fourth proportional to 290,423.10, 435,634.65 and 243,767.10 is: 365,650.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,423.10 : 435,634.65 = 243,767.10 : x
  2. Step 2: Convert to fraction form
    290,423.10/435,634.65 = 243,767.10/x
  3. Step 3: Cross multiply
    290,423.10x = 435,634.65 × 243,767.10
  4. Step 4: Simplify right side
    290,423.10x = 106,193,395,290.02
  5. Step 5: Solve for x
    x = 106,193,395,290.02/290,423.10
  6. Step 6: Final answer
    x = 365,650.65

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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.