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Finding the Fourth Proportional to 315,880.80, 474,008.40 and 116,341.44

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Solution

The fourth proportional to 315,880.80, 474,008.40 and 116,341.44 is: 174,581.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,880.80 : 474,008.40 = 116,341.44 : x
  2. Step 2: Convert to fraction form
    315,880.80/474,008.40 = 116,341.44/x
  3. Step 3: Cross multiply
    315,880.80x = 474,008.40 × 116,341.44
  4. Step 4: Simplify right side
    315,880.80x = 55,146,819,828.10
  5. Step 5: Solve for x
    x = 55,146,819,828.10/315,880.80
  6. Step 6: Final answer
    x = 174,581.11

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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.