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Finding the Fourth Proportional to 310,429.72, 428,053.98 and 209,652.76

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Solution

The fourth proportional to 310,429.72, 428,053.98 and 209,652.76 is: 289,091.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,429.72 : 428,053.98 = 209,652.76 : x
  2. Step 2: Convert to fraction form
    310,429.72/428,053.98 = 209,652.76/x
  3. Step 3: Cross multiply
    310,429.72x = 428,053.98 × 209,652.76
  4. Step 4: Simplify right side
    310,429.72x = 89,742,698,335.98
  5. Step 5: Solve for x
    x = 89,742,698,335.98/310,429.72
  6. Step 6: Final answer
    x = 289,091.84

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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.