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Finding the Fourth Proportional to 456,095.24, 683,853.06 and 400,047.89

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Solution

The fourth proportional to 456,095.24, 683,853.06 and 400,047.89 is: 599,817.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,095.24 : 683,853.06 = 400,047.89 : x
  2. Step 2: Convert to fraction form
    456,095.24/683,853.06 = 400,047.89/x
  3. Step 3: Cross multiply
    456,095.24x = 683,853.06 × 400,047.89
  4. Step 4: Simplify right side
    456,095.24x = 273,573,970,303.78
  5. Step 5: Solve for x
    x = 273,573,970,303.78/456,095.24
  6. Step 6: Final answer
    x = 599,817.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.