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Finding the Fourth Proportional to 407,862.70, 611,794.05 and 171,666.70

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Solution

The fourth proportional to 407,862.70, 611,794.05 and 171,666.70 is: 257,500.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,862.70 : 611,794.05 = 171,666.70 : x
  2. Step 2: Convert to fraction form
    407,862.70/611,794.05 = 171,666.70/x
  3. Step 3: Cross multiply
    407,862.70x = 611,794.05 × 171,666.70
  4. Step 4: Simplify right side
    407,862.70x = 105,024,665,643.14
  5. Step 5: Solve for x
    x = 105,024,665,643.14/407,862.70
  6. Step 6: Final answer
    x = 257,500.05

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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.