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Finding the Fourth Proportional to 523,831.82, 785,752.68 and 287,045.24

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Solution

The fourth proportional to 523,831.82, 785,752.68 and 287,045.24 is: 430,570.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,831.82 : 785,752.68 = 287,045.24 : x
  2. Step 2: Convert to fraction form
    523,831.82/785,752.68 = 287,045.24/x
  3. Step 3: Cross multiply
    523,831.82x = 785,752.68 × 287,045.24
  4. Step 4: Simplify right side
    523,831.82x = 225,546,566,611.24
  5. Step 5: Solve for x
    x = 225,546,566,611.24/523,831.82
  6. Step 6: Final answer
    x = 430,570.57

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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.