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Finding the Fourth Proportional to 777,598.22, 1,072,955.67 and 433,359.02

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Solution

The fourth proportional to 777,598.22, 1,072,955.67 and 433,359.02 is: 597,963.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,598.22 : 1,072,955.67 = 433,359.02 : x
  2. Step 2: Convert to fraction form
    777,598.22/1,072,955.67 = 433,359.02/x
  3. Step 3: Cross multiply
    777,598.22x = 1,072,955.67 × 433,359.02
  4. Step 4: Simplify right side
    777,598.22x = 464,975,012,289.87
  5. Step 5: Solve for x
    x = 464,975,012,289.87/777,598.22
  6. Step 6: Final answer
    x = 597,963.07

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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.