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Finding the Fourth Proportional to 407,009.70, 610,514.55 and 207,944.10

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Solution

The fourth proportional to 407,009.70, 610,514.55 and 207,944.10 is: 311,916.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,009.70 : 610,514.55 = 207,944.10 : x
  2. Step 2: Convert to fraction form
    407,009.70/610,514.55 = 207,944.10/x
  3. Step 3: Cross multiply
    407,009.70x = 610,514.55 × 207,944.10
  4. Step 4: Simplify right side
    407,009.70x = 126,952,898,636.66
  5. Step 5: Solve for x
    x = 126,952,898,636.66/407,009.70
  6. Step 6: Final answer
    x = 311,916.15

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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.