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Finding the Fourth Proportional to 476,678.80, 714,823.80 and 160,973.20

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Solution

The fourth proportional to 476,678.80, 714,823.80 and 160,973.20 is: 241,394.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,678.80 : 714,823.80 = 160,973.20 : x
  2. Step 2: Convert to fraction form
    476,678.80/714,823.80 = 160,973.20/x
  3. Step 3: Cross multiply
    476,678.80x = 714,823.80 × 160,973.20
  4. Step 4: Simplify right side
    476,678.80x = 115,067,474,522.16
  5. Step 5: Solve for x
    x = 115,067,474,522.16/476,678.80
  6. Step 6: Final answer
    x = 241,394.15

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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.