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Finding the Fourth Proportional to 289,853.80, 406,071.80 and 289,853.80

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Solution

The fourth proportional to 289,853.80, 406,071.80 and 289,853.80 is: 406,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,853.80 : 406,071.80 = 289,853.80 : x
  2. Step 2: Convert to fraction form
    289,853.80/406,071.80 = 289,853.80/x
  3. Step 3: Cross multiply
    289,853.80x = 406,071.80 × 289,853.80
  4. Step 4: Simplify right side
    289,853.80x = 117,701,454,302.84
  5. Step 5: Solve for x
    x = 117,701,454,302.84/289,853.80
  6. Step 6: Final answer
    x = 406,071.80

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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.