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Finding the Fourth Proportional to 477,497, 658,946.20 and 262,653.40

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Solution

The fourth proportional to 477,497, 658,946.20 and 262,653.40 is: 362,461.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,497 : 658,946.20 = 262,653.40 : x
  2. Step 2: Convert to fraction form
    477,497/658,946.20 = 262,653.40/x
  3. Step 3: Cross multiply
    477,497x = 658,946.20 × 262,653.40
  4. Step 4: Simplify right side
    477,497x = 173,074,459,847.08
  5. Step 5: Solve for x
    x = 173,074,459,847.08/477,497
  6. Step 6: Final answer
    x = 362,461.88

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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.