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Finding the Fourth Proportional to 314,592, 434,136.96 and 180,499.20

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Solution

The fourth proportional to 314,592, 434,136.96 and 180,499.20 is: 249,088.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,592 : 434,136.96 = 180,499.20 : x
  2. Step 2: Convert to fraction form
    314,592/434,136.96 = 180,499.20/x
  3. Step 3: Cross multiply
    314,592x = 434,136.96 × 180,499.20
  4. Step 4: Simplify right side
    314,592x = 78,361,373,970.43
  5. Step 5: Solve for x
    x = 78,361,373,970.43/314,592
  6. Step 6: Final answer
    x = 249,088.90

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