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Finding the Fourth Proportional to 287,686.08, 431,674.92 and 193,995

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Solution

The fourth proportional to 287,686.08, 431,674.92 and 193,995 is: 291,090.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,686.08 : 431,674.92 = 193,995 : x
  2. Step 2: Convert to fraction form
    287,686.08/431,674.92 = 193,995/x
  3. Step 3: Cross multiply
    287,686.08x = 431,674.92 × 193,995
  4. Step 4: Simplify right side
    287,686.08x = 83,742,776,105.40
  5. Step 5: Solve for x
    x = 83,742,776,105.40/287,686.08
  6. Step 6: Final answer
    x = 291,090.82

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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.