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Finding the Fourth Proportional to 355,965.24, 533,948 and 106,647.24

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Solution

The fourth proportional to 355,965.24, 533,948 and 106,647.24 is: 159,970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,965.24 : 533,948 = 106,647.24 : x
  2. Step 2: Convert to fraction form
    355,965.24/533,948 = 106,647.24/x
  3. Step 3: Cross multiply
    355,965.24x = 533,948 × 106,647.24
  4. Step 4: Simplify right side
    355,965.24x = 56,944,080,503.52
  5. Step 5: Solve for x
    x = 56,944,080,503.52/355,965.24
  6. Step 6: Final answer
    x = 159,970.90

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1.5x scale

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.