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Finding the Fourth Proportional to 330,829.49, 496,293.45 and 153,354.44

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Solution

The fourth proportional to 330,829.49, 496,293.45 and 153,354.44 is: 230,054.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,829.49 : 496,293.45 = 153,354.44 : x
  2. Step 2: Convert to fraction form
    330,829.49/496,293.45 = 153,354.44/x
  3. Step 3: Cross multiply
    330,829.49x = 496,293.45 × 153,354.44
  4. Step 4: Simplify right side
    330,829.49x = 76,108,803,333.65
  5. Step 5: Solve for x
    x = 76,108,803,333.65/330,829.49
  6. Step 6: Final answer
    x = 230,054.47

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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.