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Finding the Fourth Proportional to 301,748.40, 416,419.74 and 165,790.83

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Solution

The fourth proportional to 301,748.40, 416,419.74 and 165,790.83 is: 228,795.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,748.40 : 416,419.74 = 165,790.83 : x
  2. Step 2: Convert to fraction form
    301,748.40/416,419.74 = 165,790.83/x
  3. Step 3: Cross multiply
    301,748.40x = 416,419.74 × 165,790.83
  4. Step 4: Simplify right side
    301,748.40x = 69,038,574,322.98
  5. Step 5: Solve for x
    x = 69,038,574,322.98/301,748.40
  6. Step 6: Final answer
    x = 228,795.16

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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.