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Finding the Fourth Proportional to 301,595.00, 416,184.62 and 165,646.76

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Solution

The fourth proportional to 301,595.00, 416,184.62 and 165,646.76 is: 228,583.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,595.00 : 416,184.62 = 165,646.76 : x
  2. Step 2: Convert to fraction form
    301,595.00/416,184.62 = 165,646.76/x
  3. Step 3: Cross multiply
    301,595.00x = 416,184.62 × 165,646.76
  4. Step 4: Simplify right side
    301,595.00x = 68,939,630,955.67
  5. Step 5: Solve for x
    x = 68,939,630,955.67/301,595.00
  6. Step 6: Final answer
    x = 228,583.47

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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.