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Finding the Fourth Proportional to 557,888.94, 770,257.47 and 428,597.14

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Solution

The fourth proportional to 557,888.94, 770,257.47 and 428,597.14 is: 591,748.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,888.94 : 770,257.47 = 428,597.14 : x
  2. Step 2: Convert to fraction form
    557,888.94/770,257.47 = 428,597.14/x
  3. Step 3: Cross multiply
    557,888.94x = 770,257.47 × 428,597.14
  4. Step 4: Simplify right side
    557,888.94x = 330,130,148,705.64
  5. Step 5: Solve for x
    x = 330,130,148,705.64/557,888.94
  6. Step 6: Final answer
    x = 591,748.87

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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.