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Finding the Fourth Proportional to 302,666.32, 417,675.60 and 166,697.68

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Solution

The fourth proportional to 302,666.32, 417,675.60 and 166,697.68 is: 230,040.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,666.32 : 417,675.60 = 166,697.68 : x
  2. Step 2: Convert to fraction form
    302,666.32/417,675.60 = 166,697.68/x
  3. Step 3: Cross multiply
    302,666.32x = 417,675.60 × 166,697.68
  4. Step 4: Simplify right side
    302,666.32x = 69,625,553,512.61
  5. Step 5: Solve for x
    x = 69,625,553,512.61/302,666.32
  6. Step 6: Final answer
    x = 230,040.64

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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.