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Finding the Fourth Proportional to 357,283.80, 535,518.02 and 143,915.09

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Solution

The fourth proportional to 357,283.80, 535,518.02 and 143,915.09 is: 215,708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,283.80 : 535,518.02 = 143,915.09 : x
  2. Step 2: Convert to fraction form
    357,283.80/535,518.02 = 143,915.09/x
  3. Step 3: Cross multiply
    357,283.80x = 535,518.02 × 143,915.09
  4. Step 4: Simplify right side
    357,283.80x = 77,069,120,647.76
  5. Step 5: Solve for x
    x = 77,069,120,647.76/357,283.80
  6. Step 6: Final answer
    x = 215,708.41

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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.