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Finding the Fourth Proportional to 277,365.60, 416,281.80 and 259,869.60

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Solution

The fourth proportional to 277,365.60, 416,281.80 and 259,869.60 is: 390,023.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,365.60 : 416,281.80 = 259,869.60 : x
  2. Step 2: Convert to fraction form
    277,365.60/416,281.80 = 259,869.60/x
  3. Step 3: Cross multiply
    277,365.60x = 416,281.80 × 259,869.60
  4. Step 4: Simplify right side
    277,365.60x = 108,178,984,853.28
  5. Step 5: Solve for x
    x = 108,178,984,853.28/277,365.60
  6. Step 6: Final answer
    x = 390,023.08

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