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Finding the Fourth Proportional to 589,069.60, 882,567.60 and 506,125.60

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Solution

The fourth proportional to 589,069.60, 882,567.60 and 506,125.60 is: 758,297.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,069.60 : 882,567.60 = 506,125.60 : x
  2. Step 2: Convert to fraction form
    589,069.60/882,567.60 = 506,125.60/x
  3. Step 3: Cross multiply
    589,069.60x = 882,567.60 × 506,125.60
  4. Step 4: Simplify right side
    589,069.60x = 446,690,056,090.56
  5. Step 5: Solve for x
    x = 446,690,056,090.56/589,069.60
  6. Step 6: Final answer
    x = 758,297.59

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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.