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Finding the Fourth Proportional to 230,465.40, 345,698.10 and 183,809.40

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Solution

The fourth proportional to 230,465.40, 345,698.10 and 183,809.40 is: 275,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,465.40 : 345,698.10 = 183,809.40 : x
  2. Step 2: Convert to fraction form
    230,465.40/345,698.10 = 183,809.40/x
  3. Step 3: Cross multiply
    230,465.40x = 345,698.10 × 183,809.40
  4. Step 4: Simplify right side
    230,465.40x = 63,542,560,342.14
  5. Step 5: Solve for x
    x = 63,542,560,342.14/230,465.40
  6. Step 6: Final answer
    x = 275,714.10

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1.5x scale

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.