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Finding the Fourth Proportional to 301,678.68, 416,292.30 and 174,362.52

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Solution

The fourth proportional to 301,678.68, 416,292.30 and 174,362.52 is: 240,606.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,678.68 : 416,292.30 = 174,362.52 : x
  2. Step 2: Convert to fraction form
    301,678.68/416,292.30 = 174,362.52/x
  3. Step 3: Cross multiply
    301,678.68x = 416,292.30 × 174,362.52
  4. Step 4: Simplify right side
    301,678.68x = 72,585,774,484.60
  5. Step 5: Solve for x
    x = 72,585,774,484.60/301,678.68
  6. Step 6: Final answer
    x = 240,606.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.