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Finding the Fourth Proportional to 301,907.55, 416,632.77 and 165,941.49

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Solution

The fourth proportional to 301,907.55, 416,632.77 and 165,941.49 is: 228,999.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,907.55 : 416,632.77 = 165,941.49 : x
  2. Step 2: Convert to fraction form
    301,907.55/416,632.77 = 165,941.49/x
  3. Step 3: Cross multiply
    301,907.55x = 416,632.77 × 165,941.49
  4. Step 4: Simplify right side
    301,907.55x = 69,136,662,636.63
  5. Step 5: Solve for x
    x = 69,136,662,636.63/301,907.55
  6. Step 6: Final answer
    x = 228,999.45

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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.