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Finding the Fourth Proportional to 577,193.40, 865,790.10 and 470,905.20

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Solution

The fourth proportional to 577,193.40, 865,790.10 and 470,905.20 is: 706,357.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,193.40 : 865,790.10 = 470,905.20 : x
  2. Step 2: Convert to fraction form
    577,193.40/865,790.10 = 470,905.20/x
  3. Step 3: Cross multiply
    577,193.40x = 865,790.10 × 470,905.20
  4. Step 4: Simplify right side
    577,193.40x = 407,705,060,198.52
  5. Step 5: Solve for x
    x = 407,705,060,198.52/577,193.40
  6. Step 6: Final answer
    x = 706,357.80

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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.