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Finding the Fourth Proportional to 613,978.10, 846,985.02 and 410,302.22

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Solution

The fourth proportional to 613,978.10, 846,985.02 and 410,302.22 is: 566,013.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,978.10 : 846,985.02 = 410,302.22 : x
  2. Step 2: Convert to fraction form
    613,978.10/846,985.02 = 410,302.22/x
  3. Step 3: Cross multiply
    613,978.10x = 846,985.02 × 410,302.22
  4. Step 4: Simplify right side
    613,978.10x = 347,519,834,012.74
  5. Step 5: Solve for x
    x = 347,519,834,012.74/613,978.10
  6. Step 6: Final answer
    x = 566,013.40

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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.