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Finding the Fourth Proportional to 476,210.82, 714,385.94 and 223,516.98

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Solution

The fourth proportional to 476,210.82, 714,385.94 and 223,516.98 is: 335,308.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,210.82 : 714,385.94 = 223,516.98 : x
  2. Step 2: Convert to fraction form
    476,210.82/714,385.94 = 223,516.98/x
  3. Step 3: Cross multiply
    476,210.82x = 714,385.94 × 223,516.98
  4. Step 4: Simplify right side
    476,210.82x = 159,677,387,863.26
  5. Step 5: Solve for x
    x = 159,677,387,863.26/476,210.82
  6. Step 6: Final answer
    x = 335,308.19

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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.