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Finding the Fourth Proportional to 523,903.14, 785,774.52 and 168,880.14

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Solution

The fourth proportional to 523,903.14, 785,774.52 and 168,880.14 is: 253,294.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,903.14 : 785,774.52 = 168,880.14 : x
  2. Step 2: Convert to fraction form
    523,903.14/785,774.52 = 168,880.14/x
  3. Step 3: Cross multiply
    523,903.14x = 785,774.52 × 168,880.14
  4. Step 4: Simplify right side
    523,903.14x = 132,701,710,946.03
  5. Step 5: Solve for x
    x = 132,701,710,946.03/523,903.14
  6. Step 6: Final answer
    x = 253,294.36

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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.