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Finding the Fourth Proportional to 477,461.82, 716,081.65 and 140,412.32

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Solution

The fourth proportional to 477,461.82, 716,081.65 and 140,412.32 is: 210,585.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,461.82 : 716,081.65 = 140,412.32 : x
  2. Step 2: Convert to fraction form
    477,461.82/716,081.65 = 140,412.32/x
  3. Step 3: Cross multiply
    477,461.82x = 716,081.65 × 140,412.32
  4. Step 4: Simplify right side
    477,461.82x = 100,546,681,854.49
  5. Step 5: Solve for x
    x = 100,546,681,854.49/477,461.82
  6. Step 6: Final answer
    x = 210,585.81

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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.