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Finding the Fourth Proportional to 410,998.92, 566,809.95 and 342,316.38

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Solution

The fourth proportional to 410,998.92, 566,809.95 and 342,316.38 is: 472,089.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,998.92 : 566,809.95 = 342,316.38 : x
  2. Step 2: Convert to fraction form
    410,998.92/566,809.95 = 342,316.38/x
  3. Step 3: Cross multiply
    410,998.92x = 566,809.95 × 342,316.38
  4. Step 4: Simplify right side
    410,998.92x = 194,028,330,231.98
  5. Step 5: Solve for x
    x = 194,028,330,231.98/410,998.92
  6. Step 6: Final answer
    x = 472,089.64

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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.