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Finding the Fourth Proportional to 317,970.64, 476,600.76 and 137,848.12

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Solution

The fourth proportional to 317,970.64, 476,600.76 and 137,848.12 is: 206,618.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,970.64 : 476,600.76 = 137,848.12 : x
  2. Step 2: Convert to fraction form
    317,970.64/476,600.76 = 137,848.12/x
  3. Step 3: Cross multiply
    317,970.64x = 476,600.76 × 137,848.12
  4. Step 4: Simplify right side
    317,970.64x = 65,698,518,756.57
  5. Step 5: Solve for x
    x = 65,698,518,756.57/317,970.64
  6. Step 6: Final answer
    x = 206,618.19

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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.