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Finding the Fourth Proportional to 313,907.40, 470,712.70 and 114,088.52

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Solution

The fourth proportional to 313,907.40, 470,712.70 and 114,088.52 is: 171,078.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,907.40 : 470,712.70 = 114,088.52 : x
  2. Step 2: Convert to fraction form
    313,907.40/470,712.70 = 114,088.52/x
  3. Step 3: Cross multiply
    313,907.40x = 470,712.70 × 114,088.52
  4. Step 4: Simplify right side
    313,907.40x = 53,702,915,288.20
  5. Step 5: Solve for x
    x = 53,702,915,288.20/313,907.40
  6. Step 6: Final answer
    x = 171,078.84

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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.