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Finding the Fourth Proportional to 452,204.96, 678,255.12 and 238,887.36

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Solution

The fourth proportional to 452,204.96, 678,255.12 and 238,887.36 is: 358,303.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,204.96 : 678,255.12 = 238,887.36 : x
  2. Step 2: Convert to fraction form
    452,204.96/678,255.12 = 238,887.36/x
  3. Step 3: Cross multiply
    452,204.96x = 678,255.12 × 238,887.36
  4. Step 4: Simplify right side
    452,204.96x = 162,026,575,023.28
  5. Step 5: Solve for x
    x = 162,026,575,023.28/452,204.96
  6. Step 6: Final answer
    x = 358,303.40

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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.