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Finding the Fourth Proportional to 478,097.30, 716,978.76 and 141,048.44

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Solution

The fourth proportional to 478,097.30, 716,978.76 and 141,048.44 is: 211,523.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,097.30 : 716,978.76 = 141,048.44 : x
  2. Step 2: Convert to fraction form
    478,097.30/716,978.76 = 141,048.44/x
  3. Step 3: Cross multiply
    478,097.30x = 716,978.76 × 141,048.44
  4. Step 4: Simplify right side
    478,097.30x = 101,128,735,611.13
  5. Step 5: Solve for x
    x = 101,128,735,611.13/478,097.30
  6. Step 6: Final answer
    x = 211,523.34

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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.