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Finding the Fourth Proportional to 275,798.30, 413,403.15 and 157,214.30

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Solution

The fourth proportional to 275,798.30, 413,403.15 and 157,214.30 is: 235,653.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,798.30 : 413,403.15 = 157,214.30 : x
  2. Step 2: Convert to fraction form
    275,798.30/413,403.15 = 157,214.30/x
  3. Step 3: Cross multiply
    275,798.30x = 413,403.15 × 157,214.30
  4. Step 4: Simplify right side
    275,798.30x = 64,992,886,845.05
  5. Step 5: Solve for x
    x = 64,992,886,845.05/275,798.30
  6. Step 6: Final answer
    x = 235,653.69

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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.