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Finding the Fourth Proportional to 476,722.92, 657,689.58 and 307,055.46

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Solution

The fourth proportional to 476,722.92, 657,689.58 and 307,055.46 is: 423,615.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,722.92 : 657,689.58 = 307,055.46 : x
  2. Step 2: Convert to fraction form
    476,722.92/657,689.58 = 307,055.46/x
  3. Step 3: Cross multiply
    476,722.92x = 657,689.58 × 307,055.46
  4. Step 4: Simplify right side
    476,722.92x = 201,947,176,524.11
  5. Step 5: Solve for x
    x = 201,947,176,524.11/476,722.92
  6. Step 6: Final answer
    x = 423,615.41

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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.