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Finding the Fourth Proportional to 289,009.40, 433,514.10 and 219,025.40

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Solution

The fourth proportional to 289,009.40, 433,514.10 and 219,025.40 is: 328,538.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,009.40 : 433,514.10 = 219,025.40 : x
  2. Step 2: Convert to fraction form
    289,009.40/433,514.10 = 219,025.40/x
  3. Step 3: Cross multiply
    289,009.40x = 433,514.10 × 219,025.40
  4. Step 4: Simplify right side
    289,009.40x = 94,950,599,158.14
  5. Step 5: Solve for x
    x = 94,950,599,158.14/289,009.40
  6. Step 6: Final answer
    x = 328,538.10

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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.