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Finding the Fourth Proportional to 706,514.08, 974,980.26 and 384,217.31

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Solution

The fourth proportional to 706,514.08, 974,980.26 and 384,217.31 is: 530,214.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,514.08 : 974,980.26 = 384,217.31 : x
  2. Step 2: Convert to fraction form
    706,514.08/974,980.26 = 384,217.31/x
  3. Step 3: Cross multiply
    706,514.08x = 974,980.26 × 384,217.31
  4. Step 4: Simplify right side
    706,514.08x = 374,604,292,800.30
  5. Step 5: Solve for x
    x = 374,604,292,800.30/706,514.08
  6. Step 6: Final answer
    x = 530,214.90

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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.