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Finding the Fourth Proportional to 329,203.50, 493,769.35 and 223,267.95

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Solution

The fourth proportional to 329,203.50, 493,769.35 and 223,267.95 is: 334,877.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,203.50 : 493,769.35 = 223,267.95 : x
  2. Step 2: Convert to fraction form
    329,203.50/493,769.35 = 223,267.95/x
  3. Step 3: Cross multiply
    329,203.50x = 493,769.35 × 223,267.95
  4. Step 4: Simplify right side
    329,203.50x = 110,242,870,547.33
  5. Step 5: Solve for x
    x = 110,242,870,547.33/329,203.50
  6. Step 6: Final answer
    x = 334,877.58

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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.