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Finding the Fourth Proportional to 510,874.96, 704,977.68 and 375,477.52

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Solution

The fourth proportional to 510,874.96, 704,977.68 and 375,477.52 is: 518,137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,874.96 : 704,977.68 = 375,477.52 : x
  2. Step 2: Convert to fraction form
    510,874.96/704,977.68 = 375,477.52/x
  3. Step 3: Cross multiply
    510,874.96x = 704,977.68 × 375,477.52
  4. Step 4: Simplify right side
    510,874.96x = 264,703,270,941.75
  5. Step 5: Solve for x
    x = 264,703,270,941.75/510,874.96
  6. Step 6: Final answer
    x = 518,137.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.