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Finding the Fourth Proportional to 567,461.60, 783,102.33 and 312,821.90

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Solution

The fourth proportional to 567,461.60, 783,102.33 and 312,821.90 is: 431,697.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,461.60 : 783,102.33 = 312,821.90 : x
  2. Step 2: Convert to fraction form
    567,461.60/783,102.33 = 312,821.90/x
  3. Step 3: Cross multiply
    567,461.60x = 783,102.33 × 312,821.90
  4. Step 4: Simplify right side
    567,461.60x = 244,971,558,765.03
  5. Step 5: Solve for x
    x = 244,971,558,765.03/567,461.60
  6. Step 6: Final answer
    x = 431,697.16

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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.