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Finding the Fourth Proportional to 514,575.75, 710,114.54 and 313,371.75

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Solution

The fourth proportional to 514,575.75, 710,114.54 and 313,371.75 is: 432,453.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,575.75 : 710,114.54 = 313,371.75 : x
  2. Step 2: Convert to fraction form
    514,575.75/710,114.54 = 313,371.75/x
  3. Step 3: Cross multiply
    514,575.75x = 710,114.54 × 313,371.75
  4. Step 4: Simplify right side
    514,575.75x = 222,529,834,533.39
  5. Step 5: Solve for x
    x = 222,529,834,533.39/514,575.75
  6. Step 6: Final answer
    x = 432,453.02

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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.