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Finding the Fourth Proportional to 562,204.56, 775,842.24 and 307,557.60

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Solution

The fourth proportional to 562,204.56, 775,842.24 and 307,557.60 is: 424,429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,204.56 : 775,842.24 = 307,557.60 : x
  2. Step 2: Convert to fraction form
    562,204.56/775,842.24 = 307,557.60/x
  3. Step 3: Cross multiply
    562,204.56x = 775,842.24 × 307,557.60
  4. Step 4: Simplify right side
    562,204.56x = 238,616,177,313.02
  5. Step 5: Solve for x
    x = 238,616,177,313.02/562,204.56
  6. Step 6: Final answer
    x = 424,429.46

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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.