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Finding the Fourth Proportional to 380,126.02, 524,632.80 and 216,782.87

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Solution

The fourth proportional to 380,126.02, 524,632.80 and 216,782.87 is: 299,193.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,126.02 : 524,632.80 = 216,782.87 : x
  2. Step 2: Convert to fraction form
    380,126.02/524,632.80 = 216,782.87/x
  3. Step 3: Cross multiply
    380,126.02x = 524,632.80 × 216,782.87
  4. Step 4: Simplify right side
    380,126.02x = 113,731,402,996.22
  5. Step 5: Solve for x
    x = 113,731,402,996.22/380,126.02
  6. Step 6: Final answer
    x = 299,193.94

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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.