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Finding the Fourth Proportional to 869,954.72, 1,200,290.82 and 507,394.40

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Solution

The fourth proportional to 869,954.72, 1,200,290.82 and 507,394.40 is: 700,060.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,954.72 : 1,200,290.82 = 507,394.40 : x
  2. Step 2: Convert to fraction form
    869,954.72/1,200,290.82 = 507,394.40/x
  3. Step 3: Cross multiply
    869,954.72x = 1,200,290.82 × 507,394.40
  4. Step 4: Simplify right side
    869,954.72x = 609,020,840,439.41
  5. Step 5: Solve for x
    x = 609,020,840,439.41/869,954.72
  6. Step 6: Final answer
    x = 700,060.39

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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.