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Finding the Fourth Proportional to 507,657.38, 700,567.18 and 281,302.88

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Solution

The fourth proportional to 507,657.38, 700,567.18 and 281,302.88 is: 388,197.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,657.38 : 700,567.18 = 281,302.88 : x
  2. Step 2: Convert to fraction form
    507,657.38/700,567.18 = 281,302.88/x
  3. Step 3: Cross multiply
    507,657.38x = 700,567.18 × 281,302.88
  4. Step 4: Simplify right side
    507,657.38x = 197,071,561,161.39
  5. Step 5: Solve for x
    x = 197,071,561,161.39/507,657.38
  6. Step 6: Final answer
    x = 388,197.97

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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.