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Finding the Fourth Proportional to 317,271.84, 475,933.68 and 130,284.96

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Solution

The fourth proportional to 317,271.84, 475,933.68 and 130,284.96 is: 195,438.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,271.84 : 475,933.68 = 130,284.96 : x
  2. Step 2: Convert to fraction form
    317,271.84/475,933.68 = 130,284.96/x
  3. Step 3: Cross multiply
    317,271.84x = 475,933.68 × 130,284.96
  4. Step 4: Simplify right side
    317,271.84x = 62,007,000,461.45
  5. Step 5: Solve for x
    x = 62,007,000,461.45/317,271.84
  6. Step 6: Final answer
    x = 195,438.08

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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.