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Finding the Fourth Proportional to 510,564.32, 704,771.54 and 401,383.80

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Solution

The fourth proportional to 510,564.32, 704,771.54 and 401,383.80 is: 554,061.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,564.32 : 704,771.54 = 401,383.80 : x
  2. Step 2: Convert to fraction form
    510,564.32/704,771.54 = 401,383.80/x
  3. Step 3: Cross multiply
    510,564.32x = 704,771.54 × 401,383.80
  4. Step 4: Simplify right side
    510,564.32x = 282,883,878,857.05
  5. Step 5: Solve for x
    x = 282,883,878,857.05/510,564.32
  6. Step 6: Final answer
    x = 554,061.20

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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.