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Finding the Fourth Proportional to 702,524.54, 969,507.36 and 430,539.90

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Solution

The fourth proportional to 702,524.54, 969,507.36 and 430,539.90 is: 594,159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,524.54 : 969,507.36 = 430,539.90 : x
  2. Step 2: Convert to fraction form
    702,524.54/969,507.36 = 430,539.90/x
  3. Step 3: Cross multiply
    702,524.54x = 969,507.36 × 430,539.90
  4. Step 4: Simplify right side
    702,524.54x = 417,411,601,823.66
  5. Step 5: Solve for x
    x = 417,411,601,823.66/702,524.54
  6. Step 6: Final answer
    x = 594,159.46

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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.