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Finding the Fourth Proportional to 364,514.20, 509,138.90 and 364,514.20

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Solution

The fourth proportional to 364,514.20, 509,138.90 and 364,514.20 is: 509,138.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,514.20 : 509,138.90 = 364,514.20 : x
  2. Step 2: Convert to fraction form
    364,514.20/509,138.90 = 364,514.20/x
  3. Step 3: Cross multiply
    364,514.20x = 509,138.90 × 364,514.20
  4. Step 4: Simplify right side
    364,514.20x = 185,588,358,822.38
  5. Step 5: Solve for x
    x = 185,588,358,822.38/364,514.20
  6. Step 6: Final answer
    x = 509,138.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.