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Finding the Fourth Proportional to 314,475.51, 433,918.54 and 185,454.45

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Solution

The fourth proportional to 314,475.51, 433,918.54 and 185,454.45 is: 255,893.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,475.51 : 433,918.54 = 185,454.45 : x
  2. Step 2: Convert to fraction form
    314,475.51/433,918.54 = 185,454.45/x
  3. Step 3: Cross multiply
    314,475.51x = 433,918.54 × 185,454.45
  4. Step 4: Simplify right side
    314,475.51x = 80,472,125,265.30
  5. Step 5: Solve for x
    x = 80,472,125,265.30/314,475.51
  6. Step 6: Final answer
    x = 255,893.14

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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.