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Finding the Fourth Proportional to 424,459.24, 585,421.80 and 263,223.16

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Solution

The fourth proportional to 424,459.24, 585,421.80 and 263,223.16 is: 363,042.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,459.24 : 585,421.80 = 263,223.16 : x
  2. Step 2: Convert to fraction form
    424,459.24/585,421.80 = 263,223.16/x
  3. Step 3: Cross multiply
    424,459.24x = 585,421.80 × 263,223.16
  4. Step 4: Simplify right side
    424,459.24x = 154,096,576,128.89
  5. Step 5: Solve for x
    x = 154,096,576,128.89/424,459.24
  6. Step 6: Final answer
    x = 363,042.11

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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.