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Finding the Fourth Proportional to 301,303.98, 415,798.35 and 165,340.22

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Solution

The fourth proportional to 301,303.98, 415,798.35 and 165,340.22 is: 228,168.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,303.98 : 415,798.35 = 165,340.22 : x
  2. Step 2: Convert to fraction form
    301,303.98/415,798.35 = 165,340.22/x
  3. Step 3: Cross multiply
    301,303.98x = 415,798.35 × 165,340.22
  4. Step 4: Simplify right side
    301,303.98x = 68,748,190,664.64
  5. Step 5: Solve for x
    x = 68,748,190,664.64/301,303.98
  6. Step 6: Final answer
    x = 228,168.88

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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.