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Finding the Fourth Proportional to 301,879.04, 416,595.32 and 165,915.30

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Solution

The fourth proportional to 301,879.04, 416,595.32 and 165,915.30 is: 228,964.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,879.04 : 416,595.32 = 165,915.30 : x
  2. Step 2: Convert to fraction form
    301,879.04/416,595.32 = 165,915.30/x
  3. Step 3: Cross multiply
    301,879.04x = 416,595.32 × 165,915.30
  4. Step 4: Simplify right side
    301,879.04x = 69,119,537,496.40
  5. Step 5: Solve for x
    x = 69,119,537,496.40/301,879.04
  6. Step 6: Final answer
    x = 228,964.35

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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.