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Finding the Fourth Proportional to 405,439.46, 559,482.35 and 224,140.53

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Solution

The fourth proportional to 405,439.46, 559,482.35 and 224,140.53 is: 309,300.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,439.46 : 559,482.35 = 224,140.53 : x
  2. Step 2: Convert to fraction form
    405,439.46/559,482.35 = 224,140.53/x
  3. Step 3: Cross multiply
    405,439.46x = 559,482.35 × 224,140.53
  4. Step 4: Simplify right side
    405,439.46x = 125,402,670,454.65
  5. Step 5: Solve for x
    x = 125,402,670,454.65/405,439.46
  6. Step 6: Final answer
    x = 309,300.61

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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.