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Finding the Fourth Proportional to 405,835.16, 560,053.17 and 224,554.73

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Solution

The fourth proportional to 405,835.16, 560,053.17 and 224,554.73 is: 309,885.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,835.16 : 560,053.17 = 224,554.73 : x
  2. Step 2: Convert to fraction form
    405,835.16/560,053.17 = 224,554.73/x
  3. Step 3: Cross multiply
    405,835.16x = 560,053.17 × 224,554.73
  4. Step 4: Simplify right side
    405,835.16x = 125,762,585,574.73
  5. Step 5: Solve for x
    x = 125,762,585,574.73/405,835.16
  6. Step 6: Final answer
    x = 309,885.88

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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.