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Finding the Fourth Proportional to 477,483.81, 716,329.53 and 157,649.64

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Solution

The fourth proportional to 477,483.81, 716,329.53 and 157,649.64 is: 236,508.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,483.81 : 716,329.53 = 157,649.64 : x
  2. Step 2: Convert to fraction form
    477,483.81/716,329.53 = 157,649.64/x
  3. Step 3: Cross multiply
    477,483.81x = 716,329.53 × 157,649.64
  4. Step 4: Simplify right side
    477,483.81x = 112,929,092,525.87
  5. Step 5: Solve for x
    x = 112,929,092,525.87/477,483.81
  6. Step 6: Final answer
    x = 236,508.74

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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.