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Finding the Fourth Proportional to 631,883.84, 947,952.80 and 232,526.71

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Solution

The fourth proportional to 631,883.84, 947,952.80 and 232,526.71 is: 348,836.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    631,883.84 : 947,952.80 = 232,526.71 : x
  2. Step 2: Convert to fraction form
    631,883.84/947,952.80 = 232,526.71/x
  3. Step 3: Cross multiply
    631,883.84x = 947,952.80 × 232,526.71
  4. Step 4: Simplify right side
    631,883.84x = 220,424,339,916.89
  5. Step 5: Solve for x
    x = 220,424,339,916.89/631,883.84
  6. Step 6: Final answer
    x = 348,836.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.