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Finding the Fourth Proportional to 573,915.68, 791,532 and 509,432

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Solution

The fourth proportional to 573,915.68, 791,532 and 509,432 is: 702,597.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    573,915.68 : 791,532 = 509,432 : x
  2. Step 2: Convert to fraction form
    573,915.68/791,532 = 509,432/x
  3. Step 3: Cross multiply
    573,915.68x = 791,532 × 509,432
  4. Step 4: Simplify right side
    573,915.68x = 403,231,729,824
  5. Step 5: Solve for x
    x = 403,231,729,824/573,915.68
  6. Step 6: Final answer
    x = 702,597.51

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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.