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Finding the Fourth Proportional to 468,720.02, 646,830.40 and 253,855.16

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Solution

The fourth proportional to 468,720.02, 646,830.40 and 253,855.16 is: 350,318.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,720.02 : 646,830.40 = 253,855.16 : x
  2. Step 2: Convert to fraction form
    468,720.02/646,830.40 = 253,855.16/x
  3. Step 3: Cross multiply
    468,720.02x = 646,830.40 × 253,855.16
  4. Step 4: Simplify right side
    468,720.02x = 164,201,233,415.59
  5. Step 5: Solve for x
    x = 164,201,233,415.59/468,720.02
  6. Step 6: Final answer
    x = 350,318.37

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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.