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Finding the Fourth Proportional to 519,449.68, 716,801.16 and 293,116.24

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Solution

The fourth proportional to 519,449.68, 716,801.16 and 293,116.24 is: 404,478.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,449.68 : 716,801.16 = 293,116.24 : x
  2. Step 2: Convert to fraction form
    519,449.68/716,801.16 = 293,116.24/x
  3. Step 3: Cross multiply
    519,449.68x = 716,801.16 × 293,116.24
  4. Step 4: Simplify right side
    519,449.68x = 210,106,060,846.84
  5. Step 5: Solve for x
    x = 210,106,060,846.84/519,449.68
  6. Step 6: Final answer
    x = 404,478.18

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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.