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Finding the Fourth Proportional to 567,651.60, 783,724.32 and 353,083.68

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Solution

The fourth proportional to 567,651.60, 783,724.32 and 353,083.68 is: 487,482.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,651.60 : 783,724.32 = 353,083.68 : x
  2. Step 2: Convert to fraction form
    567,651.60/783,724.32 = 353,083.68/x
  3. Step 3: Cross multiply
    567,651.60x = 783,724.32 × 353,083.68
  4. Step 4: Simplify right side
    567,651.60x = 276,720,267,011.10
  5. Step 5: Solve for x
    x = 276,720,267,011.10/567,651.60
  6. Step 6: Final answer
    x = 487,482.58

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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.