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Finding the Fourth Proportional to 369,332.86, 509,916.54 and 231,700.48

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Solution

The fourth proportional to 369,332.86, 509,916.54 and 231,700.48 is: 319,895.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,332.86 : 509,916.54 = 231,700.48 : x
  2. Step 2: Convert to fraction form
    369,332.86/509,916.54 = 231,700.48/x
  3. Step 3: Cross multiply
    369,332.86x = 509,916.54 × 231,700.48
  4. Step 4: Simplify right side
    369,332.86x = 118,147,907,077.94
  5. Step 5: Solve for x
    x = 118,147,907,077.94/369,332.86
  6. Step 6: Final answer
    x = 319,895.47

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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.