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Finding the Fourth Proportional to 510,644.16, 704,643.84 and 295,715.52

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Solution

The fourth proportional to 510,644.16, 704,643.84 and 295,715.52 is: 408,061.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,644.16 : 704,643.84 = 295,715.52 : x
  2. Step 2: Convert to fraction form
    510,644.16/704,643.84 = 295,715.52/x
  3. Step 3: Cross multiply
    510,644.16x = 704,643.84 × 295,715.52
  4. Step 4: Simplify right side
    510,644.16x = 208,374,119,560.40
  5. Step 5: Solve for x
    x = 208,374,119,560.40/510,644.16
  6. Step 6: Final answer
    x = 408,061.30

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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.