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Finding the Fourth Proportional to 295,041.47, 442,628.01 and 84,663

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Solution

The fourth proportional to 295,041.47, 442,628.01 and 84,663 is: 127,013.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,041.47 : 442,628.01 = 84,663 : x
  2. Step 2: Convert to fraction form
    295,041.47/442,628.01 = 84,663/x
  3. Step 3: Cross multiply
    295,041.47x = 442,628.01 × 84,663
  4. Step 4: Simplify right side
    295,041.47x = 37,474,215,210.63
  5. Step 5: Solve for x
    x = 37,474,215,210.63/295,041.47
  6. Step 6: Final answer
    x = 127,013.39

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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.