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Finding the Fourth Proportional to 540,048.80, 809,918.40 and 160,953.68

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Solution

The fourth proportional to 540,048.80, 809,918.40 and 160,953.68 is: 241,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,048.80 : 809,918.40 = 160,953.68 : x
  2. Step 2: Convert to fraction form
    540,048.80/809,918.40 = 160,953.68/x
  3. Step 3: Cross multiply
    540,048.80x = 809,918.40 × 160,953.68
  4. Step 4: Simplify right side
    540,048.80x = 130,359,346,979.71
  5. Step 5: Solve for x
    x = 130,359,346,979.71/540,048.80
  6. Step 6: Final answer
    x = 241,384.38

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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.