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Finding the Fourth Proportional to 295,595.09, 407,800.46 and 218,256.08

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Solution

The fourth proportional to 295,595.09, 407,800.46 and 218,256.08 is: 301,104.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,595.09 : 407,800.46 = 218,256.08 : x
  2. Step 2: Convert to fraction form
    295,595.09/407,800.46 = 218,256.08/x
  3. Step 3: Cross multiply
    295,595.09x = 407,800.46 × 218,256.08
  4. Step 4: Simplify right side
    295,595.09x = 89,004,928,730.52
  5. Step 5: Solve for x
    x = 89,004,928,730.52/295,595.09
  6. Step 6: Final answer
    x = 301,104.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.