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Finding the Fourth Proportional to 427,706.90, 590,214.48 and 243,952.74

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Solution

The fourth proportional to 427,706.90, 590,214.48 and 243,952.74 is: 336,642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,706.90 : 590,214.48 = 243,952.74 : x
  2. Step 2: Convert to fraction form
    427,706.90/590,214.48 = 243,952.74/x
  3. Step 3: Cross multiply
    427,706.90x = 590,214.48 × 243,952.74
  4. Step 4: Simplify right side
    427,706.90x = 143,984,439,583.68
  5. Step 5: Solve for x
    x = 143,984,439,583.68/427,706.90
  6. Step 6: Final answer
    x = 336,642.78

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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.