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Finding the Fourth Proportional to 294,802.32, 406,828.58 and 167,484.90

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Solution

The fourth proportional to 294,802.32, 406,828.58 and 167,484.90 is: 231,129.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,802.32 : 406,828.58 = 167,484.90 : x
  2. Step 2: Convert to fraction form
    294,802.32/406,828.58 = 167,484.90/x
  3. Step 3: Cross multiply
    294,802.32x = 406,828.58 × 167,484.90
  4. Step 4: Simplify right side
    294,802.32x = 68,137,643,201.02
  5. Step 5: Solve for x
    x = 68,137,643,201.02/294,802.32
  6. Step 6: Final answer
    x = 231,129.94

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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.