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Finding the Fourth Proportional to 573,189.16, 859,783.70 and 257,277

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Solution

The fourth proportional to 573,189.16, 859,783.70 and 257,277 is: 385,915.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,189.16 : 859,783.70 = 257,277 : x
  2. Step 2: Convert to fraction form
    573,189.16/859,783.70 = 257,277/x
  3. Step 3: Cross multiply
    573,189.16x = 859,783.70 × 257,277
  4. Step 4: Simplify right side
    573,189.16x = 221,202,570,984.90
  5. Step 5: Solve for x
    x = 221,202,570,984.90/573,189.16
  6. Step 6: Final answer
    x = 385,915.48

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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.