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Finding the Fourth Proportional to 405,968.29, 560,295.53 and 233,852.77

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Solution

The fourth proportional to 405,968.29, 560,295.53 and 233,852.77 is: 322,750.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,968.29 : 560,295.53 = 233,852.77 : x
  2. Step 2: Convert to fraction form
    405,968.29/560,295.53 = 233,852.77/x
  3. Step 3: Cross multiply
    405,968.29x = 560,295.53 × 233,852.77
  4. Step 4: Simplify right side
    405,968.29x = 131,026,662,117.17
  5. Step 5: Solve for x
    x = 131,026,662,117.17/405,968.29
  6. Step 6: Final answer
    x = 322,750.98

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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.