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Finding the Fourth Proportional to 301,298.07, 415,986.11 and 186,698.32

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Solution

The fourth proportional to 301,298.07, 415,986.11 and 186,698.32 is: 257,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,298.07 : 415,986.11 = 186,698.32 : x
  2. Step 2: Convert to fraction form
    301,298.07/415,986.11 = 186,698.32/x
  3. Step 3: Cross multiply
    301,298.07x = 415,986.11 × 186,698.32
  4. Step 4: Simplify right side
    301,298.07x = 77,663,908,624.48
  5. Step 5: Solve for x
    x = 77,663,908,624.48/301,298.07
  6. Step 6: Final answer
    x = 257,764.38

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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.