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Finding the Fourth Proportional to 476,026.47, 714,042.14 and 160,486.11

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Solution

The fourth proportional to 476,026.47, 714,042.14 and 160,486.11 is: 240,729.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,026.47 : 714,042.14 = 160,486.11 : x
  2. Step 2: Convert to fraction form
    476,026.47/714,042.14 = 160,486.11/x
  3. Step 3: Cross multiply
    476,026.47x = 714,042.14 × 160,486.11
  4. Step 4: Simplify right side
    476,026.47x = 114,593,844,622.25
  5. Step 5: Solve for x
    x = 114,593,844,622.25/476,026.47
  6. Step 6: Final answer
    x = 240,729.98

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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.