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Finding the Fourth Proportional to 302,017.30, 416,784.72 and 166,065.16

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Solution

The fourth proportional to 302,017.30, 416,784.72 and 166,065.16 is: 229,170.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,017.30 : 416,784.72 = 166,065.16 : x
  2. Step 2: Convert to fraction form
    302,017.30/416,784.72 = 166,065.16/x
  3. Step 3: Cross multiply
    302,017.30x = 416,784.72 × 166,065.16
  4. Step 4: Simplify right side
    302,017.30x = 69,213,421,212.36
  5. Step 5: Solve for x
    x = 69,213,421,212.36/302,017.30
  6. Step 6: Final answer
    x = 229,170.39

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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.