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Finding the Fourth Proportional to 567,838.44, 850,707.90 and 286,684.20

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Solution

The fourth proportional to 567,838.44, 850,707.90 and 286,684.20 is: 429,496.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,838.44 : 850,707.90 = 286,684.20 : x
  2. Step 2: Convert to fraction form
    567,838.44/850,707.90 = 286,684.20/x
  3. Step 3: Cross multiply
    567,838.44x = 850,707.90 × 286,684.20
  4. Step 4: Simplify right side
    567,838.44x = 243,884,513,745.18
  5. Step 5: Solve for x
    x = 243,884,513,745.18/567,838.44
  6. Step 6: Final answer
    x = 429,496.31

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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.