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Finding the Fourth Proportional to 302,663.81, 417,678.96 and 166,700.84

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Solution

The fourth proportional to 302,663.81, 417,678.96 and 166,700.84 is: 230,048.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,663.81 : 417,678.96 = 166,700.84 : x
  2. Step 2: Convert to fraction form
    302,663.81/417,678.96 = 166,700.84/x
  3. Step 3: Cross multiply
    302,663.81x = 417,678.96 × 166,700.84
  4. Step 4: Simplify right side
    302,663.81x = 69,627,433,482.33
  5. Step 5: Solve for x
    x = 69,627,433,482.33/302,663.81
  6. Step 6: Final answer
    x = 230,048.76

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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.