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Finding the Fourth Proportional to 368,456.06, 508,428.14 and 207,366.50

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Solution

The fourth proportional to 368,456.06, 508,428.14 and 207,366.50 is: 286,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,456.06 : 508,428.14 = 207,366.50 : x
  2. Step 2: Convert to fraction form
    368,456.06/508,428.14 = 207,366.50/x
  3. Step 3: Cross multiply
    368,456.06x = 508,428.14 × 207,366.50
  4. Step 4: Simplify right side
    368,456.06x = 105,430,963,893.31
  5. Step 5: Solve for x
    x = 105,430,963,893.31/368,456.06
  6. Step 6: Final answer
    x = 286,142.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.