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Finding the Fourth Proportional to 405,888.06, 560,153.58 and 224,607.63

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Solution

The fourth proportional to 405,888.06, 560,153.58 and 224,607.63 is: 309,974.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,888.06 : 560,153.58 = 224,607.63 : x
  2. Step 2: Convert to fraction form
    405,888.06/560,153.58 = 224,607.63/x
  3. Step 3: Cross multiply
    405,888.06x = 560,153.58 × 224,607.63
  4. Step 4: Simplify right side
    405,888.06x = 125,814,769,298.11
  5. Step 5: Solve for x
    x = 125,814,769,298.11/405,888.06
  6. Step 6: Final answer
    x = 309,974.06

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