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Finding the Fourth Proportional to 514,132.48, 710,857.21 and 450,287.27

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Solution

The fourth proportional to 514,132.48, 710,857.21 and 450,287.27 is: 622,582.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,132.48 : 710,857.21 = 450,287.27 : x
  2. Step 2: Convert to fraction form
    514,132.48/710,857.21 = 450,287.27/x
  3. Step 3: Cross multiply
    514,132.48x = 710,857.21 × 450,287.27
  4. Step 4: Simplify right side
    514,132.48x = 320,089,947,770.71
  5. Step 5: Solve for x
    x = 320,089,947,770.71/514,132.48
  6. Step 6: Final answer
    x = 622,582.63

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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.