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Finding the Fourth Proportional to 562,216.50, 775,877.10 and 307,567.69

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Solution

The fourth proportional to 562,216.50, 775,877.10 and 307,567.69 is: 424,453.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,216.50 : 775,877.10 = 307,567.69 : x
  2. Step 2: Convert to fraction form
    562,216.50/775,877.10 = 307,567.69/x
  3. Step 3: Cross multiply
    562,216.50x = 775,877.10 × 307,567.69
  4. Step 4: Simplify right side
    562,216.50x = 238,634,727,370.90
  5. Step 5: Solve for x
    x = 238,634,727,370.90/562,216.50
  6. Step 6: Final answer
    x = 424,453.44

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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.