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Finding the Fourth Proportional to 508,199.89, 701,313.87 and 314,569

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Solution

The fourth proportional to 508,199.89, 701,313.87 and 314,569 is: 434,104.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,199.89 : 701,313.87 = 314,569 : x
  2. Step 2: Convert to fraction form
    508,199.89/701,313.87 = 314,569/x
  3. Step 3: Cross multiply
    508,199.89x = 701,313.87 × 314,569
  4. Step 4: Simplify right side
    508,199.89x = 220,611,602,772.03
  5. Step 5: Solve for x
    x = 220,611,602,772.03/508,199.89
  6. Step 6: Final answer
    x = 434,104.00

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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.