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Finding the Fourth Proportional to 295,444.26, 407,707.54 and 180,714.48

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Solution

The fourth proportional to 295,444.26, 407,707.54 and 180,714.48 is: 249,382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,444.26 : 407,707.54 = 180,714.48 : x
  2. Step 2: Convert to fraction form
    295,444.26/407,707.54 = 180,714.48/x
  3. Step 3: Cross multiply
    295,444.26x = 407,707.54 × 180,714.48
  4. Step 4: Simplify right side
    295,444.26x = 73,678,653,141.07
  5. Step 5: Solve for x
    x = 73,678,653,141.07/295,444.26
  6. Step 6: Final answer
    x = 249,382.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.