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Finding the Fourth Proportional to 314,097.20, 470,368.20 and 251,889.20

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Solution

The fourth proportional to 314,097.20, 470,368.20 and 251,889.20 is: 377,210.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,097.20 : 470,368.20 = 251,889.20 : x
  2. Step 2: Convert to fraction form
    314,097.20/470,368.20 = 251,889.20/x
  3. Step 3: Cross multiply
    314,097.20x = 470,368.20 × 251,889.20
  4. Step 4: Simplify right side
    314,097.20x = 118,480,669,603.44
  5. Step 5: Solve for x
    x = 118,480,669,603.44/314,097.20
  6. Step 6: Final answer
    x = 377,210.21

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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.