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Finding the Fourth Proportional to 477,470.96, 716,222.44 and 145,046

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Solution

The fourth proportional to 477,470.96, 716,222.44 and 145,046 is: 217,573.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,470.96 : 716,222.44 = 145,046 : x
  2. Step 2: Convert to fraction form
    477,470.96/716,222.44 = 145,046/x
  3. Step 3: Cross multiply
    477,470.96x = 716,222.44 × 145,046
  4. Step 4: Simplify right side
    477,470.96x = 103,885,200,032.24
  5. Step 5: Solve for x
    x = 103,885,200,032.24/477,470.96
  6. Step 6: Final answer
    x = 217,573.86

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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.