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Finding the Fourth Proportional to 289,840.80, 406,514.40 and 289,840.80

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Solution

The fourth proportional to 289,840.80, 406,514.40 and 289,840.80 is: 406,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,840.80 : 406,514.40 = 289,840.80 : x
  2. Step 2: Convert to fraction form
    289,840.80/406,514.40 = 289,840.80/x
  3. Step 3: Cross multiply
    289,840.80x = 406,514.40 × 289,840.80
  4. Step 4: Simplify right side
    289,840.80x = 117,824,458,907.52
  5. Step 5: Solve for x
    x = 117,824,458,907.52/289,840.80
  6. Step 6: Final answer
    x = 406,514.40

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1.5x scale

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.