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Finding the Fourth Proportional to 473,978.24, 654,097.74 and 283,008.32

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Solution

The fourth proportional to 473,978.24, 654,097.74 and 283,008.32 is: 390,556.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,978.24 : 654,097.74 = 283,008.32 : x
  2. Step 2: Convert to fraction form
    473,978.24/654,097.74 = 283,008.32/x
  3. Step 3: Cross multiply
    473,978.24x = 654,097.74 × 283,008.32
  4. Step 4: Simplify right side
    473,978.24x = 185,115,102,513.20
  5. Step 5: Solve for x
    x = 185,115,102,513.20/473,978.24
  6. Step 6: Final answer
    x = 390,556.12

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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.