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Finding the Fourth Proportional to 309,482.70, 464,262.12 and 119,946.24

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Solution

The fourth proportional to 309,482.70, 464,262.12 and 119,946.24 is: 179,934.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,482.70 : 464,262.12 = 119,946.24 : x
  2. Step 2: Convert to fraction form
    309,482.70/464,262.12 = 119,946.24/x
  3. Step 3: Cross multiply
    309,482.70x = 464,262.12 × 119,946.24
  4. Step 4: Simplify right side
    309,482.70x = 55,686,495,668.43
  5. Step 5: Solve for x
    x = 55,686,495,668.43/309,482.70
  6. Step 6: Final answer
    x = 179,934.11

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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.