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Finding the Fourth Proportional to 301,303.74, 415,798.02 and 165,339.96

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Solution

The fourth proportional to 301,303.74, 415,798.02 and 165,339.96 is: 228,168.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,303.74 : 415,798.02 = 165,339.96 : x
  2. Step 2: Convert to fraction form
    301,303.74/415,798.02 = 165,339.96/x
  3. Step 3: Cross multiply
    301,303.74x = 415,798.02 × 165,339.96
  4. Step 4: Simplify right side
    301,303.74x = 68,748,027,994.88
  5. Step 5: Solve for x
    x = 68,748,027,994.88/301,303.74
  6. Step 6: Final answer
    x = 228,168.52

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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.