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Finding the Fourth Proportional to 467,978.46, 645,810.32 and 253,118.53

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Solution

The fourth proportional to 467,978.46, 645,810.32 and 253,118.53 is: 349,303.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,978.46 : 645,810.32 = 253,118.53 : x
  2. Step 2: Convert to fraction form
    467,978.46/645,810.32 = 253,118.53/x
  3. Step 3: Cross multiply
    467,978.46x = 645,810.32 × 253,118.53
  4. Step 4: Simplify right side
    467,978.46x = 163,466,560,297.29
  5. Step 5: Solve for x
    x = 163,466,560,297.29/467,978.46
  6. Step 6: Final answer
    x = 349,303.60

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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.