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Finding the Fourth Proportional to 456,094.49, 683,851.94 and 400,047.14

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Solution

The fourth proportional to 456,094.49, 683,851.94 and 400,047.14 is: 599,816.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,094.49 : 683,851.94 = 400,047.14 : x
  2. Step 2: Convert to fraction form
    456,094.49/683,851.94 = 400,047.14/x
  3. Step 3: Cross multiply
    456,094.49x = 683,851.94 × 400,047.14
  4. Step 4: Simplify right side
    456,094.49x = 273,573,007,360.96
  5. Step 5: Solve for x
    x = 273,573,007,360.96/456,094.49
  6. Step 6: Final answer
    x = 599,816.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.