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Finding the Fourth Proportional to 569,043.22, 785,032.94 and 342,557.50

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Solution

The fourth proportional to 569,043.22, 785,032.94 and 342,557.50 is: 472,580.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,043.22 : 785,032.94 = 342,557.50 : x
  2. Step 2: Convert to fraction form
    569,043.22/785,032.94 = 342,557.50/x
  3. Step 3: Cross multiply
    569,043.22x = 785,032.94 × 342,557.50
  4. Step 4: Simplify right side
    569,043.22x = 268,918,921,344.05
  5. Step 5: Solve for x
    x = 268,918,921,344.05/569,043.22
  6. Step 6: Final answer
    x = 472,580.84

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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.