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Finding the Fourth Proportional to 407,798.70, 611,698.05 and 171,602.70

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Solution

The fourth proportional to 407,798.70, 611,698.05 and 171,602.70 is: 257,404.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,798.70 : 611,698.05 = 171,602.70 : x
  2. Step 2: Convert to fraction form
    407,798.70/611,698.05 = 171,602.70/x
  3. Step 3: Cross multiply
    407,798.70x = 611,698.05 × 171,602.70
  4. Step 4: Simplify right side
    407,798.70x = 104,969,036,964.74
  5. Step 5: Solve for x
    x = 104,969,036,964.74/407,798.70
  6. Step 6: Final answer
    x = 257,404.05

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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.