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Finding the Fourth Proportional to 402,509.08, 603,784.26 and 102,992.20

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Solution

The fourth proportional to 402,509.08, 603,784.26 and 102,992.20 is: 154,493.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,509.08 : 603,784.26 = 102,992.20 : x
  2. Step 2: Convert to fraction form
    402,509.08/603,784.26 = 102,992.20/x
  3. Step 3: Cross multiply
    402,509.08x = 603,784.26 × 102,992.20
  4. Step 4: Simplify right side
    402,509.08x = 62,185,069,262.77
  5. Step 5: Solve for x
    x = 62,185,069,262.77/402,509.08
  6. Step 6: Final answer
    x = 154,493.58

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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.