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Finding the Fourth Proportional to 477,842.96, 716,875.38 and 157,975.53

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Solution

The fourth proportional to 477,842.96, 716,875.38 and 157,975.53 is: 236,999.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,842.96 : 716,875.38 = 157,975.53 : x
  2. Step 2: Convert to fraction form
    477,842.96/716,875.38 = 157,975.53/x
  3. Step 3: Cross multiply
    477,842.96x = 716,875.38 × 157,975.53
  4. Step 4: Simplify right side
    477,842.96x = 113,248,768,099.45
  5. Step 5: Solve for x
    x = 113,248,768,099.45/477,842.96
  6. Step 6: Final answer
    x = 236,999.97

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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.