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Finding the Fourth Proportional to 405,970.87, 560,235.67 and 224,683.15

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Solution

The fourth proportional to 405,970.87, 560,235.67 and 224,683.15 is: 310,060.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,970.87 : 560,235.67 = 224,683.15 : x
  2. Step 2: Convert to fraction form
    405,970.87/560,235.67 = 224,683.15/x
  3. Step 3: Cross multiply
    405,970.87x = 560,235.67 × 224,683.15
  4. Step 4: Simplify right side
    405,970.87x = 125,875,515,077.96
  5. Step 5: Solve for x
    x = 125,875,515,077.96/405,970.87
  6. Step 6: Final answer
    x = 310,060.46

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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.