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Finding the Fourth Proportional to 523,683.48, 785,806.74 and 208,143

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Solution

The fourth proportional to 523,683.48, 785,806.74 and 208,143 is: 312,326.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,683.48 : 785,806.74 = 208,143 : x
  2. Step 2: Convert to fraction form
    523,683.48/785,806.74 = 208,143/x
  3. Step 3: Cross multiply
    523,683.48x = 785,806.74 × 208,143
  4. Step 4: Simplify right side
    523,683.48x = 163,560,172,283.82
  5. Step 5: Solve for x
    x = 163,560,172,283.82/523,683.48
  6. Step 6: Final answer
    x = 312,326.39

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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.