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Finding the Fourth Proportional to 306,658.06, 459,831.56 and 140,303.50

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Solution

The fourth proportional to 306,658.06, 459,831.56 and 140,303.50 is: 210,384.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,658.06 : 459,831.56 = 140,303.50 : x
  2. Step 2: Convert to fraction form
    306,658.06/459,831.56 = 140,303.50/x
  3. Step 3: Cross multiply
    306,658.06x = 459,831.56 × 140,303.50
  4. Step 4: Simplify right side
    306,658.06x = 64,515,977,278.46
  5. Step 5: Solve for x
    x = 64,515,977,278.46/306,658.06
  6. Step 6: Final answer
    x = 210,384.09

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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.