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Finding the Fourth Proportional to 603,164.16, 904,480.56 and 283,407

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Solution

The fourth proportional to 603,164.16, 904,480.56 and 283,407 is: 424,985.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,164.16 : 904,480.56 = 283,407 : x
  2. Step 2: Convert to fraction form
    603,164.16/904,480.56 = 283,407/x
  3. Step 3: Cross multiply
    603,164.16x = 904,480.56 × 283,407
  4. Step 4: Simplify right side
    603,164.16x = 256,336,122,067.92
  5. Step 5: Solve for x
    x = 256,336,122,067.92/603,164.16
  6. Step 6: Final answer
    x = 424,985.67

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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.