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Finding the Fourth Proportional to 510,339.49, 704,227.06 and 295,493.16

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Solution

The fourth proportional to 510,339.49, 704,227.06 and 295,493.16 is: 407,756.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,339.49 : 704,227.06 = 295,493.16 : x
  2. Step 2: Convert to fraction form
    510,339.49/704,227.06 = 295,493.16/x
  3. Step 3: Cross multiply
    510,339.49x = 704,227.06 × 295,493.16
  4. Step 4: Simplify right side
    510,339.49x = 208,094,282,327.13
  5. Step 5: Solve for x
    x = 208,094,282,327.13/510,339.49
  6. Step 6: Final answer
    x = 407,756.58

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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.