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Finding the Fourth Proportional to 380,530.16, 525,135.48 and 229,598

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Solution

The fourth proportional to 380,530.16, 525,135.48 and 229,598 is: 316,847.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,530.16 : 525,135.48 = 229,598 : x
  2. Step 2: Convert to fraction form
    380,530.16/525,135.48 = 229,598/x
  3. Step 3: Cross multiply
    380,530.16x = 525,135.48 × 229,598
  4. Step 4: Simplify right side
    380,530.16x = 120,570,055,937.04
  5. Step 5: Solve for x
    x = 120,570,055,937.04/380,530.16
  6. Step 6: Final answer
    x = 316,847.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.