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Finding the Fourth Proportional to 470,465.34, 705,698.01 and 115,476.36

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Solution

The fourth proportional to 470,465.34, 705,698.01 and 115,476.36 is: 173,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,465.34 : 705,698.01 = 115,476.36 : x
  2. Step 2: Convert to fraction form
    470,465.34/705,698.01 = 115,476.36/x
  3. Step 3: Cross multiply
    470,465.34x = 705,698.01 × 115,476.36
  4. Step 4: Simplify right side
    470,465.34x = 81,491,437,454.04
  5. Step 5: Solve for x
    x = 81,491,437,454.04/470,465.34
  6. Step 6: Final answer
    x = 173,214.54

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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.