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Finding the Fourth Proportional to 314,097.21, 470,686.55 and 195,407.91

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Solution

The fourth proportional to 314,097.21, 470,686.55 and 195,407.91 is: 292,826.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,097.21 : 470,686.55 = 195,407.91 : x
  2. Step 2: Convert to fraction form
    314,097.21/470,686.55 = 195,407.91/x
  3. Step 3: Cross multiply
    314,097.21x = 470,686.55 × 195,407.91
  4. Step 4: Simplify right side
    314,097.21x = 91,975,874,023.57
  5. Step 5: Solve for x
    x = 91,975,874,023.57/314,097.21
  6. Step 6: Final answer
    x = 292,826.14

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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.