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Finding the Fourth Proportional to 510,308.63, 704,180.16 and 295,463.24

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Solution

The fourth proportional to 510,308.63, 704,180.16 and 295,463.24 is: 407,712.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,308.63 : 704,180.16 = 295,463.24 : x
  2. Step 2: Convert to fraction form
    510,308.63/704,180.16 = 295,463.24/x
  3. Step 3: Cross multiply
    510,308.63x = 704,180.16 × 295,463.24
  4. Step 4: Simplify right side
    510,308.63x = 208,059,351,617.32
  5. Step 5: Solve for x
    x = 208,059,351,617.32/510,308.63
  6. Step 6: Final answer
    x = 407,712.78

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1.5x scale

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.