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Finding the Fourth Proportional to 317,643.56, 475,441.50 and 175,265

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Solution

The fourth proportional to 317,643.56, 475,441.50 and 175,265 is: 262,332.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,643.56 : 475,441.50 = 175,265 : x
  2. Step 2: Convert to fraction form
    317,643.56/475,441.50 = 175,265/x
  3. Step 3: Cross multiply
    317,643.56x = 475,441.50 × 175,265
  4. Step 4: Simplify right side
    317,643.56x = 83,328,254,497.50
  5. Step 5: Solve for x
    x = 83,328,254,497.50/317,643.56
  6. Step 6: Final answer
    x = 262,332.58

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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.