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Finding the Fourth Proportional to 286,406.40, 395,133.57 and 177,461.01

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Solution

The fourth proportional to 286,406.40, 395,133.57 and 177,461.01 is: 244,829.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,406.40 : 395,133.57 = 177,461.01 : x
  2. Step 2: Convert to fraction form
    286,406.40/395,133.57 = 177,461.01/x
  3. Step 3: Cross multiply
    286,406.40x = 395,133.57 × 177,461.01
  4. Step 4: Simplify right side
    286,406.40x = 70,120,802,417.11
  5. Step 5: Solve for x
    x = 70,120,802,417.11/286,406.40
  6. Step 6: Final answer
    x = 244,829.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.