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Finding the Fourth Proportional to 562,384.26, 776,090.16 and 307,735.38

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Solution

The fourth proportional to 562,384.26, 776,090.16 and 307,735.38 is: 424,674.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,384.26 : 776,090.16 = 307,735.38 : x
  2. Step 2: Convert to fraction form
    562,384.26/776,090.16 = 307,735.38/x
  3. Step 3: Cross multiply
    562,384.26x = 776,090.16 × 307,735.38
  4. Step 4: Simplify right side
    562,384.26x = 238,830,400,301.86
  5. Step 5: Solve for x
    x = 238,830,400,301.86/562,384.26
  6. Step 6: Final answer
    x = 424,674.76

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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.