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Finding the Fourth Proportional to 477,543.25, 716,319.74 and 145,119.25

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Solution

The fourth proportional to 477,543.25, 716,319.74 and 145,119.25 is: 217,680.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,543.25 : 716,319.74 = 145,119.25 : x
  2. Step 2: Convert to fraction form
    477,543.25/716,319.74 = 145,119.25/x
  3. Step 3: Cross multiply
    477,543.25x = 716,319.74 × 145,119.25
  4. Step 4: Simplify right side
    477,543.25x = 103,951,783,429.00
  5. Step 5: Solve for x
    x = 103,951,783,429.00/477,543.25
  6. Step 6: Final answer
    x = 217,680.35

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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.