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Finding the Fourth Proportional to 523,465.74, 783,648.57 and 323,142.01

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Solution

The fourth proportional to 523,465.74, 783,648.57 and 323,142.01 is: 483,756.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,465.74 : 783,648.57 = 323,142.01 : x
  2. Step 2: Convert to fraction form
    523,465.74/783,648.57 = 323,142.01/x
  3. Step 3: Cross multiply
    523,465.74x = 783,648.57 × 323,142.01
  4. Step 4: Simplify right side
    523,465.74x = 253,229,773,296.09
  5. Step 5: Solve for x
    x = 253,229,773,296.09/523,465.74
  6. Step 6: Final answer
    x = 483,756.15

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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.