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Finding the Fourth Proportional to 561,881.50, 842,823.06 and 229,457.50

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Solution

The fourth proportional to 561,881.50, 842,823.06 and 229,457.50 is: 344,186.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,881.50 : 842,823.06 = 229,457.50 : x
  2. Step 2: Convert to fraction form
    561,881.50/842,823.06 = 229,457.50/x
  3. Step 3: Cross multiply
    561,881.50x = 842,823.06 × 229,457.50
  4. Step 4: Simplify right side
    561,881.50x = 193,392,072,289.95
  5. Step 5: Solve for x
    x = 193,392,072,289.95/561,881.50
  6. Step 6: Final answer
    x = 344,186.58

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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.