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Finding the Fourth Proportional to 380,528.16, 525,132.72 and 229,596

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Solution

The fourth proportional to 380,528.16, 525,132.72 and 229,596 is: 316,844.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,528.16 : 525,132.72 = 229,596 : x
  2. Step 2: Convert to fraction form
    380,528.16/525,132.72 = 229,596/x
  3. Step 3: Cross multiply
    380,528.16x = 525,132.72 × 229,596
  4. Step 4: Simplify right side
    380,528.16x = 120,568,371,981.12
  5. Step 5: Solve for x
    x = 120,568,371,981.12/380,528.16
  6. Step 6: Final answer
    x = 316,844.81

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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.