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Finding the Fourth Proportional to 575,057.12, 793,602.96 and 320,408.16

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Solution

The fourth proportional to 575,057.12, 793,602.96 and 320,408.16 is: 442,176.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,057.12 : 793,602.96 = 320,408.16 : x
  2. Step 2: Convert to fraction form
    575,057.12/793,602.96 = 320,408.16/x
  3. Step 3: Cross multiply
    575,057.12x = 793,602.96 × 320,408.16
  4. Step 4: Simplify right side
    575,057.12x = 254,276,864,184.15
  5. Step 5: Solve for x
    x = 254,276,864,184.15/575,057.12
  6. Step 6: Final answer
    x = 442,176.71

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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.