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Finding the Fourth Proportional to 569,128.65, 785,442.34 and 324,123.82

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Solution

The fourth proportional to 569,128.65, 785,442.34 and 324,123.82 is: 447,316.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,128.65 : 785,442.34 = 324,123.82 : x
  2. Step 2: Convert to fraction form
    569,128.65/785,442.34 = 324,123.82/x
  3. Step 3: Cross multiply
    569,128.65x = 785,442.34 × 324,123.82
  4. Step 4: Simplify right side
    569,128.65x = 254,580,573,823.98
  5. Step 5: Solve for x
    x = 254,580,573,823.98/569,128.65
  6. Step 6: Final answer
    x = 447,316.39

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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.