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Finding the Fourth Proportional to 317,973.60, 476,085.60 and 302,227.20

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Solution

The fourth proportional to 317,973.60, 476,085.60 and 302,227.20 is: 452,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,973.60 : 476,085.60 = 302,227.20 : x
  2. Step 2: Convert to fraction form
    317,973.60/476,085.60 = 302,227.20/x
  3. Step 3: Cross multiply
    317,973.60x = 476,085.60 × 302,227.20
  4. Step 4: Simplify right side
    317,973.60x = 143,886,017,848.32
  5. Step 5: Solve for x
    x = 143,886,017,848.32/317,973.60
  6. Step 6: Final answer
    x = 452,509.32

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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.