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Finding the Fourth Proportional to 301,503.40, 416,075.52 and 165,546.16

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Solution

The fourth proportional to 301,503.40, 416,075.52 and 165,546.16 is: 228,454.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,503.40 : 416,075.52 = 165,546.16 : x
  2. Step 2: Convert to fraction form
    301,503.40/416,075.52 = 165,546.16/x
  3. Step 3: Cross multiply
    301,503.40x = 416,075.52 × 165,546.16
  4. Step 4: Simplify right side
    301,503.40x = 68,879,704,186.61
  5. Step 5: Solve for x
    x = 68,879,704,186.61/301,503.40
  6. Step 6: Final answer
    x = 228,454.16

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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.