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Finding the Fourth Proportional to 488,457.80, 732,341.10 and 188,822.60

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Solution

The fourth proportional to 488,457.80, 732,341.10 and 188,822.60 is: 283,100.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,457.80 : 732,341.10 = 188,822.60 : x
  2. Step 2: Convert to fraction form
    488,457.80/732,341.10 = 188,822.60/x
  3. Step 3: Cross multiply
    488,457.80x = 732,341.10 × 188,822.60
  4. Step 4: Simplify right side
    488,457.80x = 138,282,550,588.86
  5. Step 5: Solve for x
    x = 138,282,550,588.86/488,457.80
  6. Step 6: Final answer
    x = 283,100.30

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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.