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Finding the Fourth Proportional to 510,137.19, 704,049.98 and 292,423.77

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Solution

The fourth proportional to 510,137.19, 704,049.98 and 292,423.77 is: 403,579.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,137.19 : 704,049.98 = 292,423.77 : x
  2. Step 2: Convert to fraction form
    510,137.19/704,049.98 = 292,423.77/x
  3. Step 3: Cross multiply
    510,137.19x = 704,049.98 × 292,423.77
  4. Step 4: Simplify right side
    510,137.19x = 205,880,947,957.91
  5. Step 5: Solve for x
    x = 205,880,947,957.91/510,137.19
  6. Step 6: Final answer
    x = 403,579.57

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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.