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Finding the Fourth Proportional to 469,386.30, 704,109.18 and 181,335.32

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Solution

The fourth proportional to 469,386.30, 704,109.18 and 181,335.32 is: 272,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,386.30 : 704,109.18 = 181,335.32 : x
  2. Step 2: Convert to fraction form
    469,386.30/704,109.18 = 181,335.32/x
  3. Step 3: Cross multiply
    469,386.30x = 704,109.18 × 181,335.32
  4. Step 4: Simplify right side
    469,386.30x = 127,679,863,470.24
  5. Step 5: Solve for x
    x = 127,679,863,470.24/469,386.30
  6. Step 6: Final answer
    x = 272,014.47

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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.