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Finding the Fourth Proportional to 294,542.48, 442,478.80 and 174,678.05

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Solution

The fourth proportional to 294,542.48, 442,478.80 and 174,678.05 is: 262,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,542.48 : 442,478.80 = 174,678.05 : x
  2. Step 2: Convert to fraction form
    294,542.48/442,478.80 = 174,678.05/x
  3. Step 3: Cross multiply
    294,542.48x = 442,478.80 × 174,678.05
  4. Step 4: Simplify right side
    294,542.48x = 77,291,335,769.24
  5. Step 5: Solve for x
    x = 77,291,335,769.24/294,542.48
  6. Step 6: Final answer
    x = 262,411.50

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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.