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Finding the Fourth Proportional to 514,575.44, 710,114.10 and 313,371.44

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Solution

The fourth proportional to 514,575.44, 710,114.10 and 313,371.44 is: 432,452.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,575.44 : 710,114.10 = 313,371.44 : x
  2. Step 2: Convert to fraction form
    514,575.44/710,114.10 = 313,371.44/x
  3. Step 3: Cross multiply
    514,575.44x = 710,114.10 × 313,371.44
  4. Step 4: Simplify right side
    514,575.44x = 222,529,478,081.30
  5. Step 5: Solve for x
    x = 222,529,478,081.30/514,575.44
  6. Step 6: Final answer
    x = 432,452.58

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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.