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Finding the Fourth Proportional to 477,098.15, 715,536.45 and 140,048.28

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Solution

The fourth proportional to 477,098.15, 715,536.45 and 140,048.28 is: 210,039.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,098.15 : 715,536.45 = 140,048.28 : x
  2. Step 2: Convert to fraction form
    477,098.15/715,536.45 = 140,048.28/x
  3. Step 3: Cross multiply
    477,098.15x = 715,536.45 × 140,048.28
  4. Step 4: Simplify right side
    477,098.15x = 100,209,649,099.81
  5. Step 5: Solve for x
    x = 100,209,649,099.81/477,098.15
  6. Step 6: Final answer
    x = 210,039.91

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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.