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Finding the Fourth Proportional to 514,653.90, 772,011.09 and 199,112.46

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Solution

The fourth proportional to 514,653.90, 772,011.09 and 199,112.46 is: 298,680.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,653.90 : 772,011.09 = 199,112.46 : x
  2. Step 2: Convert to fraction form
    514,653.90/772,011.09 = 199,112.46/x
  3. Step 3: Cross multiply
    514,653.90x = 772,011.09 × 199,112.46
  4. Step 4: Simplify right side
    514,653.90x = 153,717,027,277.18
  5. Step 5: Solve for x
    x = 153,717,027,277.18/514,653.90
  6. Step 6: Final answer
    x = 298,680.39

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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.