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Finding the Fourth Proportional to 499,313.40, 689,047.33 and 284,458.08

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Solution

The fourth proportional to 499,313.40, 689,047.33 and 284,458.08 is: 392,549.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,313.40 : 689,047.33 = 284,458.08 : x
  2. Step 2: Convert to fraction form
    499,313.40/689,047.33 = 284,458.08/x
  3. Step 3: Cross multiply
    499,313.40x = 689,047.33 × 284,458.08
  4. Step 4: Simplify right side
    499,313.40x = 196,005,078,051.13
  5. Step 5: Solve for x
    x = 196,005,078,051.13/499,313.40
  6. Step 6: Final answer
    x = 392,549.20

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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.