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Finding the Fourth Proportional to 434,016, 651,377.16 and 223,714.08

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Solution

The fourth proportional to 434,016, 651,377.16 and 223,714.08 is: 335,753.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,016 : 651,377.16 = 223,714.08 : x
  2. Step 2: Convert to fraction form
    434,016/651,377.16 = 223,714.08/x
  3. Step 3: Cross multiply
    434,016x = 651,377.16 × 223,714.08
  4. Step 4: Simplify right side
    434,016x = 145,722,242,082.41
  5. Step 5: Solve for x
    x = 145,722,242,082.41/434,016
  6. Step 6: Final answer
    x = 335,753.16

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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.