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Finding the Fourth Proportional to 565,336.32, 848,295 and 312,569.88

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Solution

The fourth proportional to 565,336.32, 848,295 and 312,569.88 is: 469,015.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,336.32 : 848,295 = 312,569.88 : x
  2. Step 2: Convert to fraction form
    565,336.32/848,295 = 312,569.88/x
  3. Step 3: Cross multiply
    565,336.32x = 848,295 × 312,569.88
  4. Step 4: Simplify right side
    565,336.32x = 265,151,466,354.60
  5. Step 5: Solve for x
    x = 265,151,466,354.60/565,336.32
  6. Step 6: Final answer
    x = 469,015.45

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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.