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Finding the Fourth Proportional to 347,835.84, 524,123.01 and 286,040.13

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Solution

The fourth proportional to 347,835.84, 524,123.01 and 286,040.13 is: 431,008.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,835.84 : 524,123.01 = 286,040.13 : x
  2. Step 2: Convert to fraction form
    347,835.84/524,123.01 = 286,040.13/x
  3. Step 3: Cross multiply
    347,835.84x = 524,123.01 × 286,040.13
  4. Step 4: Simplify right side
    347,835.84x = 149,920,213,916.39
  5. Step 5: Solve for x
    x = 149,920,213,916.39/347,835.84
  6. Step 6: Final answer
    x = 431,008.53

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.