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Finding the Fourth Proportional to 510,136.90, 704,065.90 and 295,417.24

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Solution

The fourth proportional to 510,136.90, 704,065.90 and 295,417.24 is: 407,720.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,136.90 : 704,065.90 = 295,417.24 : x
  2. Step 2: Convert to fraction form
    510,136.90/704,065.90 = 295,417.24/x
  3. Step 3: Cross multiply
    510,136.90x = 704,065.90 × 295,417.24
  4. Step 4: Simplify right side
    510,136.90x = 207,993,200,697.24
  5. Step 5: Solve for x
    x = 207,993,200,697.24/510,136.90
  6. Step 6: Final answer
    x = 407,720.36

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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.