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Finding the Fourth Proportional to 567,483.76, 783,129.96 and 312,829.36

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Solution

The fourth proportional to 567,483.76, 783,129.96 and 312,829.36 is: 431,705.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,483.76 : 783,129.96 = 312,829.36 : x
  2. Step 2: Convert to fraction form
    567,483.76/783,129.96 = 312,829.36/x
  3. Step 3: Cross multiply
    567,483.76x = 783,129.96 × 312,829.36
  4. Step 4: Simplify right side
    567,483.76x = 244,986,044,183.63
  5. Step 5: Solve for x
    x = 244,986,044,183.63/567,483.76
  6. Step 6: Final answer
    x = 431,705.82

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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.