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Finding the Fourth Proportional to 462,303.60, 693,071.40 and 196,268.40

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Solution

The fourth proportional to 462,303.60, 693,071.40 and 196,268.40 is: 294,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,303.60 : 693,071.40 = 196,268.40 : x
  2. Step 2: Convert to fraction form
    462,303.60/693,071.40 = 196,268.40/x
  3. Step 3: Cross multiply
    462,303.60x = 693,071.40 × 196,268.40
  4. Step 4: Simplify right side
    462,303.60x = 136,028,014,763.76
  5. Step 5: Solve for x
    x = 136,028,014,763.76/462,303.60
  6. Step 6: Final answer
    x = 294,239.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.