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Finding the Fourth Proportional to 346,468.30, 519,313.65 and 196,780.30

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Solution

The fourth proportional to 346,468.30, 519,313.65 and 196,780.30 is: 294,949.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,468.30 : 519,313.65 = 196,780.30 : x
  2. Step 2: Convert to fraction form
    346,468.30/519,313.65 = 196,780.30/x
  3. Step 3: Cross multiply
    346,468.30x = 519,313.65 × 196,780.30
  4. Step 4: Simplify right side
    346,468.30x = 102,190,695,841.10
  5. Step 5: Solve for x
    x = 102,190,695,841.10/346,468.30
  6. Step 6: Final answer
    x = 294,949.63

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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.