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Finding the Fourth Proportional to 405,502.46, 559,569.35 and 224,200.16

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Solution

The fourth proportional to 405,502.46, 559,569.35 and 224,200.16 is: 309,382.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,502.46 : 559,569.35 = 224,200.16 : x
  2. Step 2: Convert to fraction form
    405,502.46/559,569.35 = 224,200.16/x
  3. Step 3: Cross multiply
    405,502.46x = 559,569.35 × 224,200.16
  4. Step 4: Simplify right side
    405,502.46x = 125,455,536,821.38
  5. Step 5: Solve for x
    x = 125,455,536,821.38/405,502.46
  6. Step 6: Final answer
    x = 309,382.93

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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.