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Finding the Fourth Proportional to 300,298.74, 414,412.32 and 164,332.72

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Solution

The fourth proportional to 300,298.74, 414,412.32 and 164,332.72 is: 226,779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,298.74 : 414,412.32 = 164,332.72 : x
  2. Step 2: Convert to fraction form
    300,298.74/414,412.32 = 164,332.72/x
  3. Step 3: Cross multiply
    300,298.74x = 414,412.32 × 164,332.72
  4. Step 4: Simplify right side
    300,298.74x = 68,101,503,747.11
  5. Step 5: Solve for x
    x = 68,101,503,747.11/300,298.74
  6. Step 6: Final answer
    x = 226,779.19

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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.