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Finding the Fourth Proportional to 567,762.76, 782,698.38 and 446,693.80

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Solution

The fourth proportional to 567,762.76, 782,698.38 and 446,693.80 is: 615,796.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,762.76 : 782,698.38 = 446,693.80 : x
  2. Step 2: Convert to fraction form
    567,762.76/782,698.38 = 446,693.80/x
  3. Step 3: Cross multiply
    567,762.76x = 782,698.38 × 446,693.80
  4. Step 4: Simplify right side
    567,762.76x = 349,626,513,616.04
  5. Step 5: Solve for x
    x = 349,626,513,616.04/567,762.76
  6. Step 6: Final answer
    x = 615,796.84

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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.