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Finding the Fourth Proportional to 357,842.59, 493,616.86 and 214,519.36

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Solution

The fourth proportional to 357,842.59, 493,616.86 and 214,519.36 is: 295,913.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,842.59 : 493,616.86 = 214,519.36 : x
  2. Step 2: Convert to fraction form
    357,842.59/493,616.86 = 214,519.36/x
  3. Step 3: Cross multiply
    357,842.59x = 493,616.86 × 214,519.36
  4. Step 4: Simplify right side
    357,842.59x = 105,890,372,892.41
  5. Step 5: Solve for x
    x = 105,890,372,892.41/357,842.59
  6. Step 6: Final answer
    x = 295,913.28

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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.