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Finding the Fourth Proportional to 477,806.84, 716,210.48 and 178,157.06

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Solution

The fourth proportional to 477,806.84, 716,210.48 and 178,157.06 is: 267,049.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,806.84 : 716,210.48 = 178,157.06 : x
  2. Step 2: Convert to fraction form
    477,806.84/716,210.48 = 178,157.06/x
  3. Step 3: Cross multiply
    477,806.84x = 716,210.48 × 178,157.06
  4. Step 4: Simplify right side
    477,806.84x = 127,597,955,693.91
  5. Step 5: Solve for x
    x = 127,597,955,693.91/477,806.84
  6. Step 6: Final answer
    x = 267,049.24

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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.