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Finding the Fourth Proportional to 405,941.58, 560,185.53 and 224,661.12

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Solution

The fourth proportional to 405,941.58, 560,185.53 and 224,661.12 is: 310,024.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,941.58 : 560,185.53 = 224,661.12 : x
  2. Step 2: Convert to fraction form
    405,941.58/560,185.53 = 224,661.12/x
  3. Step 3: Cross multiply
    405,941.58x = 560,185.53 × 224,661.12
  4. Step 4: Simplify right side
    405,941.58x = 125,851,908,577.59
  5. Step 5: Solve for x
    x = 125,851,908,577.59/405,941.58
  6. Step 6: Final answer
    x = 310,024.68

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1.5x scale

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.