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Finding the Fourth Proportional to 383,284.50, 528,649.26 and 281,275.50

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Solution

The fourth proportional to 383,284.50, 528,649.26 and 281,275.50 is: 387,952.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,284.50 : 528,649.26 = 281,275.50 : x
  2. Step 2: Convert to fraction form
    383,284.50/528,649.26 = 281,275.50/x
  3. Step 3: Cross multiply
    383,284.50x = 528,649.26 × 281,275.50
  4. Step 4: Simplify right side
    383,284.50x = 148,696,084,931.13
  5. Step 5: Solve for x
    x = 148,696,084,931.13/383,284.50
  6. Step 6: Final answer
    x = 387,952.25

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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.