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Finding the Fourth Proportional to 314,136.80, 438,858.40 and 314,136.80

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Solution

The fourth proportional to 314,136.80, 438,858.40 and 314,136.80 is: 438,858.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,136.80 : 438,858.40 = 314,136.80 : x
  2. Step 2: Convert to fraction form
    314,136.80/438,858.40 = 314,136.80/x
  3. Step 3: Cross multiply
    314,136.80x = 438,858.40 × 314,136.80
  4. Step 4: Simplify right side
    314,136.80x = 137,861,573,429.12
  5. Step 5: Solve for x
    x = 137,861,573,429.12/314,136.80
  6. Step 6: Final answer
    x = 438,858.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.