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Finding the Fourth Proportional to 510,580.15, 704,695.10 and 295,720.16

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Solution

The fourth proportional to 510,580.15, 704,695.10 and 295,720.16 is: 408,148.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,580.15 : 704,695.10 = 295,720.16 : x
  2. Step 2: Convert to fraction form
    510,580.15/704,695.10 = 295,720.16/x
  3. Step 3: Cross multiply
    510,580.15x = 704,695.10 × 295,720.16
  4. Step 4: Simplify right side
    510,580.15x = 208,392,542,721.14
  5. Step 5: Solve for x
    x = 208,392,542,721.14/510,580.15
  6. Step 6: Final answer
    x = 408,148.54

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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.