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Finding the Fourth Proportional to 510,631.84, 704,666 and 281,184.36

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Solution

The fourth proportional to 510,631.84, 704,666 and 281,184.36 is: 388,031.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,631.84 : 704,666 = 281,184.36 : x
  2. Step 2: Convert to fraction form
    510,631.84/704,666 = 281,184.36/x
  3. Step 3: Cross multiply
    510,631.84x = 704,666 × 281,184.36
  4. Step 4: Simplify right side
    510,631.84x = 198,141,058,223.76
  5. Step 5: Solve for x
    x = 198,141,058,223.76/510,631.84
  6. Step 6: Final answer
    x = 388,031.15

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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.