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Finding the Fourth Proportional to 512,740.48, 707,577.84 and 298,006.24

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Solution

The fourth proportional to 512,740.48, 707,577.84 and 298,006.24 is: 411,246.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,740.48 : 707,577.84 = 298,006.24 : x
  2. Step 2: Convert to fraction form
    512,740.48/707,577.84 = 298,006.24/x
  3. Step 3: Cross multiply
    512,740.48x = 707,577.84 × 298,006.24
  4. Step 4: Simplify right side
    512,740.48x = 210,862,611,605.72
  5. Step 5: Solve for x
    x = 210,862,611,605.72/512,740.48
  6. Step 6: Final answer
    x = 411,246.27

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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.