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Finding the Fourth Proportional to 560,853, 773,973.13 and 306,204.18

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Solution

The fourth proportional to 560,853, 773,973.13 and 306,204.18 is: 422,559.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,853 : 773,973.13 = 306,204.18 : x
  2. Step 2: Convert to fraction form
    560,853/773,973.13 = 306,204.18/x
  3. Step 3: Cross multiply
    560,853x = 773,973.13 × 306,204.18
  4. Step 4: Simplify right side
    560,853x = 236,993,807,613.68
  5. Step 5: Solve for x
    x = 236,993,807,613.68/560,853
  6. Step 6: Final answer
    x = 422,559.58

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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.