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Finding the Fourth Proportional to 567,209.12, 782,738.54 and 309,088.34

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Solution

The fourth proportional to 567,209.12, 782,738.54 and 309,088.34 is: 426,536.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,209.12 : 782,738.54 = 309,088.34 : x
  2. Step 2: Convert to fraction form
    567,209.12/782,738.54 = 309,088.34/x
  3. Step 3: Cross multiply
    567,209.12x = 782,738.54 × 309,088.34
  4. Step 4: Simplify right side
    567,209.12x = 241,935,354,617.84
  5. Step 5: Solve for x
    x = 241,935,354,617.84/567,209.12
  6. Step 6: Final answer
    x = 426,536.44

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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.