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Finding the Fourth Proportional to 289,751.60, 406,205.20 and 289,751.60

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Solution

The fourth proportional to 289,751.60, 406,205.20 and 289,751.60 is: 406,205.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,751.60 : 406,205.20 = 289,751.60 : x
  2. Step 2: Convert to fraction form
    289,751.60/406,205.20 = 289,751.60/x
  3. Step 3: Cross multiply
    289,751.60x = 406,205.20 × 289,751.60
  4. Step 4: Simplify right side
    289,751.60x = 117,698,606,628.32
  5. Step 5: Solve for x
    x = 117,698,606,628.32/289,751.60
  6. Step 6: Final answer
    x = 406,205.20

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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.