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Finding the Fourth Proportional to 507,456.36, 699,952.14 and 326,397.42

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Solution

The fourth proportional to 507,456.36, 699,952.14 and 326,397.42 is: 450,211.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,456.36 : 699,952.14 = 326,397.42 : x
  2. Step 2: Convert to fraction form
    507,456.36/699,952.14 = 326,397.42/x
  3. Step 3: Cross multiply
    507,456.36x = 699,952.14 × 326,397.42
  4. Step 4: Simplify right side
    507,456.36x = 228,462,572,619.48
  5. Step 5: Solve for x
    x = 228,462,572,619.48/507,456.36
  6. Step 6: Final answer
    x = 450,211.27

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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.