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Finding the Fourth Proportional to 510,430.64, 704,379.52 and 284,071.28

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Solution

The fourth proportional to 510,430.64, 704,379.52 and 284,071.28 is: 392,010.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,430.64 : 704,379.52 = 284,071.28 : x
  2. Step 2: Convert to fraction form
    510,430.64/704,379.52 = 284,071.28/x
  3. Step 3: Cross multiply
    510,430.64x = 704,379.52 × 284,071.28
  4. Step 4: Simplify right side
    510,430.64x = 200,093,991,852.19
  5. Step 5: Solve for x
    x = 200,093,991,852.19/510,430.64
  6. Step 6: Final answer
    x = 392,010.15

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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.