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Finding the Fourth Proportional to 476,506.23, 714,549.47 and 223,858.52

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Solution

The fourth proportional to 476,506.23, 714,549.47 and 223,858.52 is: 335,689.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,506.23 : 714,549.47 = 223,858.52 : x
  2. Step 2: Convert to fraction form
    476,506.23/714,549.47 = 223,858.52/x
  3. Step 3: Cross multiply
    476,506.23x = 714,549.47 × 223,858.52
  4. Step 4: Simplify right side
    476,506.23x = 159,957,982,128.95
  5. Step 5: Solve for x
    x = 159,957,982,128.95/476,506.23
  6. Step 6: Final answer
    x = 335,689.17

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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.