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Finding the Fourth Proportional to 477,653.99, 716,457.51 and 178,111.13

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Solution

The fourth proportional to 477,653.99, 716,457.51 and 178,111.13 is: 267,157.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,653.99 : 716,457.51 = 178,111.13 : x
  2. Step 2: Convert to fraction form
    477,653.99/716,457.51 = 178,111.13/x
  3. Step 3: Cross multiply
    477,653.99x = 716,457.51 × 178,111.13
  4. Step 4: Simplify right side
    477,653.99x = 127,609,053,120.80
  5. Step 5: Solve for x
    x = 127,609,053,120.80/477,653.99
  6. Step 6: Final answer
    x = 267,157.94

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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.