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Finding the Fourth Proportional to 301,018.44, 415,386.18 and 165,050.76

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Solution

The fourth proportional to 301,018.44, 415,386.18 and 165,050.76 is: 227,759.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,018.44 : 415,386.18 = 165,050.76 : x
  2. Step 2: Convert to fraction form
    301,018.44/415,386.18 = 165,050.76/x
  3. Step 3: Cross multiply
    301,018.44x = 415,386.18 × 165,050.76
  4. Step 4: Simplify right side
    301,018.44x = 68,559,804,702.50
  5. Step 5: Solve for x
    x = 68,559,804,702.50/301,018.44
  6. Step 6: Final answer
    x = 227,759.48

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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.