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Finding the Fourth Proportional to 513,989.28, 709,527.60 and 386,696.16

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Solution

The fourth proportional to 513,989.28, 709,527.60 and 386,696.16 is: 533,808.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,989.28 : 709,527.60 = 386,696.16 : x
  2. Step 2: Convert to fraction form
    513,989.28/709,527.60 = 386,696.16/x
  3. Step 3: Cross multiply
    513,989.28x = 709,527.60 × 386,696.16
  4. Step 4: Simplify right side
    513,989.28x = 274,371,598,334.02
  5. Step 5: Solve for x
    x = 274,371,598,334.02/513,989.28
  6. Step 6: Final answer
    x = 533,808.02

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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.