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Finding the Fourth Proportional to 298,521.60, 412,030.08 and 185,429.76

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Solution

The fourth proportional to 298,521.60, 412,030.08 and 185,429.76 is: 255,936.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,521.60 : 412,030.08 = 185,429.76 : x
  2. Step 2: Convert to fraction form
    298,521.60/412,030.08 = 185,429.76/x
  3. Step 3: Cross multiply
    298,521.60x = 412,030.08 × 185,429.76
  4. Step 4: Simplify right side
    298,521.60x = 76,402,638,847.18
  5. Step 5: Solve for x
    x = 76,402,638,847.18/298,521.60
  6. Step 6: Final answer
    x = 255,936.72

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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.