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Finding the Fourth Proportional to 302,470.59, 453,705.86 and 282,539.73

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Solution

The fourth proportional to 302,470.59, 453,705.86 and 282,539.73 is: 423,809.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,470.59 : 453,705.86 = 282,539.73 : x
  2. Step 2: Convert to fraction form
    302,470.59/453,705.86 = 282,539.73/x
  3. Step 3: Cross multiply
    302,470.59x = 453,705.86 × 282,539.73
  4. Step 4: Simplify right side
    302,470.59x = 128,189,929,771.12
  5. Step 5: Solve for x
    x = 128,189,929,771.12/302,470.59
  6. Step 6: Final answer
    x = 423,809.57

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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.