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Finding the Fourth Proportional to 652,196.30, 978,294.45 and 178,880.90

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Solution

The fourth proportional to 652,196.30, 978,294.45 and 178,880.90 is: 268,321.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,196.30 : 978,294.45 = 178,880.90 : x
  2. Step 2: Convert to fraction form
    652,196.30/978,294.45 = 178,880.90/x
  3. Step 3: Cross multiply
    652,196.30x = 978,294.45 × 178,880.90
  4. Step 4: Simplify right side
    652,196.30x = 174,998,191,681.01
  5. Step 5: Solve for x
    x = 174,998,191,681.01/652,196.30
  6. Step 6: Final answer
    x = 268,321.35

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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.