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Finding the Fourth Proportional to 565,106.40, 848,315.70 and 325,411.20

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Solution

The fourth proportional to 565,106.40, 848,315.70 and 325,411.20 is: 488,494.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,106.40 : 848,315.70 = 325,411.20 : x
  2. Step 2: Convert to fraction form
    565,106.40/848,315.70 = 325,411.20/x
  3. Step 3: Cross multiply
    565,106.40x = 848,315.70 × 325,411.20
  4. Step 4: Simplify right side
    565,106.40x = 276,051,429,915.84
  5. Step 5: Solve for x
    x = 276,051,429,915.84/565,106.40
  6. Step 6: Final answer
    x = 488,494.61

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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.