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Finding the Fourth Proportional to 706,478, 1,059,457.80 and 233,023.28

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Solution

The fourth proportional to 706,478, 1,059,457.80 and 233,023.28 is: 349,449.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,478 : 1,059,457.80 = 233,023.28 : x
  2. Step 2: Convert to fraction form
    706,478/1,059,457.80 = 233,023.28/x
  3. Step 3: Cross multiply
    706,478x = 1,059,457.80 × 233,023.28
  4. Step 4: Simplify right side
    706,478x = 246,878,331,577.58
  5. Step 5: Solve for x
    x = 246,878,331,577.58/706,478
  6. Step 6: Final answer
    x = 349,449.43

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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.