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Finding the Fourth Proportional to 368,742.60, 508,831.98 and 205,386.60

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Solution

The fourth proportional to 368,742.60, 508,831.98 and 205,386.60 is: 283,415.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,742.60 : 508,831.98 = 205,386.60 : x
  2. Step 2: Convert to fraction form
    368,742.60/508,831.98 = 205,386.60/x
  3. Step 3: Cross multiply
    368,742.60x = 508,831.98 × 205,386.60
  4. Step 4: Simplify right side
    368,742.60x = 104,507,270,343.47
  5. Step 5: Solve for x
    x = 104,507,270,343.47/368,742.60
  6. Step 6: Final answer
    x = 283,415.23

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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.