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Finding the Fourth Proportional to 543,830.80, 815,427.06 and 164,637.40

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Solution

The fourth proportional to 543,830.80, 815,427.06 and 164,637.40 is: 246,859.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,830.80 : 815,427.06 = 164,637.40 : x
  2. Step 2: Convert to fraction form
    543,830.80/815,427.06 = 164,637.40/x
  3. Step 3: Cross multiply
    543,830.80x = 815,427.06 × 164,637.40
  4. Step 4: Simplify right side
    543,830.80x = 134,249,791,048.04
  5. Step 5: Solve for x
    x = 134,249,791,048.04/543,830.80
  6. Step 6: Final answer
    x = 246,859.48

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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.