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Finding the Fourth Proportional to 301,006.77, 415,408.01 and 166,870.77

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Solution

The fourth proportional to 301,006.77, 415,408.01 and 166,870.77 is: 230,292.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,006.77 : 415,408.01 = 166,870.77 : x
  2. Step 2: Convert to fraction form
    301,006.77/415,408.01 = 166,870.77/x
  3. Step 3: Cross multiply
    301,006.77x = 415,408.01 × 166,870.77
  4. Step 4: Simplify right side
    301,006.77x = 69,319,453,658.51
  5. Step 5: Solve for x
    x = 69,319,453,658.51/301,006.77
  6. Step 6: Final answer
    x = 230,292.01

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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.