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Finding the Fourth Proportional to 471,056.80, 705,663.60 and 283,511.20

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Solution

The fourth proportional to 471,056.80, 705,663.60 and 283,511.20 is: 424,712.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,056.80 : 705,663.60 = 283,511.20 : x
  2. Step 2: Convert to fraction form
    471,056.80/705,663.60 = 283,511.20/x
  3. Step 3: Cross multiply
    471,056.80x = 705,663.60 × 283,511.20
  4. Step 4: Simplify right side
    471,056.80x = 200,063,534,032.32
  5. Step 5: Solve for x
    x = 200,063,534,032.32/471,056.80
  6. Step 6: Final answer
    x = 424,712.12

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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.