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Finding the Fourth Proportional to 523,266.48, 785,030.94 and 207,619.20

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Solution

The fourth proportional to 523,266.48, 785,030.94 and 207,619.20 is: 311,480.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,266.48 : 785,030.94 = 207,619.20 : x
  2. Step 2: Convert to fraction form
    523,266.48/785,030.94 = 207,619.20/x
  3. Step 3: Cross multiply
    523,266.48x = 785,030.94 × 207,619.20
  4. Step 4: Simplify right side
    523,266.48x = 162,987,495,738.05
  5. Step 5: Solve for x
    x = 162,987,495,738.05/523,266.48
  6. Step 6: Final answer
    x = 311,480.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.