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Finding the Fourth Proportional to 314,633.56, 434,180.28 and 183,823.36

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Solution

The fourth proportional to 314,633.56, 434,180.28 and 183,823.36 is: 253,668.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,633.56 : 434,180.28 = 183,823.36 : x
  2. Step 2: Convert to fraction form
    314,633.56/434,180.28 = 183,823.36/x
  3. Step 3: Cross multiply
    314,633.56x = 434,180.28 × 183,823.36
  4. Step 4: Simplify right side
    314,633.56x = 79,812,477,915.34
  5. Step 5: Solve for x
    x = 79,812,477,915.34/314,633.56
  6. Step 6: Final answer
    x = 253,668.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.