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Finding the Fourth Proportional to 600,313.97, 900,470.96 and 284,598.65

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Solution

The fourth proportional to 600,313.97, 900,470.96 and 284,598.65 is: 426,897.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,313.97 : 900,470.96 = 284,598.65 : x
  2. Step 2: Convert to fraction form
    600,313.97/900,470.96 = 284,598.65/x
  3. Step 3: Cross multiply
    600,313.97x = 900,470.96 × 284,598.65
  4. Step 4: Simplify right side
    600,313.97x = 256,272,813,654.86
  5. Step 5: Solve for x
    x = 256,272,813,654.86/600,313.97
  6. Step 6: Final answer
    x = 426,897.97

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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.