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Finding the Fourth Proportional to 519,315.75, 716,657.90 and 280,851.75

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Solution

The fourth proportional to 519,315.75, 716,657.90 and 280,851.75 is: 387,576.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,315.75 : 716,657.90 = 280,851.75 : x
  2. Step 2: Convert to fraction form
    519,315.75/716,657.90 = 280,851.75/x
  3. Step 3: Cross multiply
    519,315.75x = 716,657.90 × 280,851.75
  4. Step 4: Simplify right side
    519,315.75x = 201,274,623,962.07
  5. Step 5: Solve for x
    x = 201,274,623,962.07/519,315.75
  6. Step 6: Final answer
    x = 387,576.58

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1.5x scale

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.