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Finding the Fourth Proportional to 567,283.20, 849,801.60 and 367,742.40

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Solution

The fourth proportional to 567,283.20, 849,801.60 and 367,742.40 is: 550,885.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,283.20 : 849,801.60 = 367,742.40 : x
  2. Step 2: Convert to fraction form
    567,283.20/849,801.60 = 367,742.40/x
  3. Step 3: Cross multiply
    567,283.20x = 849,801.60 × 367,742.40
  4. Step 4: Simplify right side
    567,283.20x = 312,508,079,907.84
  5. Step 5: Solve for x
    x = 312,508,079,907.84/567,283.20
  6. Step 6: Final answer
    x = 550,885.48

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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.