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Finding the Fourth Proportional to 453,114.86, 679,628.34 and 137,574.50

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Solution

The fourth proportional to 453,114.86, 679,628.34 and 137,574.50 is: 206,348.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,114.86 : 679,628.34 = 137,574.50 : x
  2. Step 2: Convert to fraction form
    453,114.86/679,628.34 = 137,574.50/x
  3. Step 3: Cross multiply
    453,114.86x = 679,628.34 × 137,574.50
  4. Step 4: Simplify right side
    453,114.86x = 93,499,525,663.19
  5. Step 5: Solve for x
    x = 93,499,525,663.19/453,114.86
  6. Step 6: Final answer
    x = 206,348.40

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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.