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Finding the Fourth Proportional to 497,209.40, 745,814.10 and 164,785.40

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Solution

The fourth proportional to 497,209.40, 745,814.10 and 164,785.40 is: 247,178.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,209.40 : 745,814.10 = 164,785.40 : x
  2. Step 2: Convert to fraction form
    497,209.40/745,814.10 = 164,785.40/x
  3. Step 3: Cross multiply
    497,209.40x = 745,814.10 × 164,785.40
  4. Step 4: Simplify right side
    497,209.40x = 122,899,274,794.14
  5. Step 5: Solve for x
    x = 122,899,274,794.14/497,209.40
  6. Step 6: Final answer
    x = 247,178.10

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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.