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Finding the Fourth Proportional to 317,987.51, 476,980.13 and 302,023.35

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Solution

The fourth proportional to 317,987.51, 476,980.13 and 302,023.35 is: 453,033.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,987.51 : 476,980.13 = 302,023.35 : x
  2. Step 2: Convert to fraction form
    317,987.51/476,980.13 = 302,023.35/x
  3. Step 3: Cross multiply
    317,987.51x = 476,980.13 × 302,023.35
  4. Step 4: Simplify right side
    317,987.51x = 144,059,135,235.92
  5. Step 5: Solve for x
    x = 144,059,135,235.92/317,987.51
  6. Step 6: Final answer
    x = 453,033.95

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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.