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Finding the Fourth Proportional to 302,017.38, 416,784.24 and 166,053.66

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Solution

The fourth proportional to 302,017.38, 416,784.24 and 166,053.66 is: 229,154.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,017.38 : 416,784.24 = 166,053.66 : x
  2. Step 2: Convert to fraction form
    302,017.38/416,784.24 = 166,053.66/x
  3. Step 3: Cross multiply
    302,017.38x = 416,784.24 × 166,053.66
  4. Step 4: Simplify right side
    302,017.38x = 69,208,548,482.32
  5. Step 5: Solve for x
    x = 69,208,548,482.32/302,017.38
  6. Step 6: Final answer
    x = 229,154.19

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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.