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Finding the Fourth Proportional to 536,227.84, 802,818.56 and 409,720.32

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Solution

The fourth proportional to 536,227.84, 802,818.56 and 409,720.32 is: 613,416.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,227.84 : 802,818.56 = 409,720.32 : x
  2. Step 2: Convert to fraction form
    536,227.84/802,818.56 = 409,720.32/x
  3. Step 3: Cross multiply
    536,227.84x = 802,818.56 × 409,720.32
  4. Step 4: Simplify right side
    536,227.84x = 328,931,077,305.14
  5. Step 5: Solve for x
    x = 328,931,077,305.14/536,227.84
  6. Step 6: Final answer
    x = 613,416.64

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1.5x scale

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.