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Finding the Fourth Proportional to 411,875.80, 618,159.30 and 201,693.40

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Solution

The fourth proportional to 411,875.80, 618,159.30 and 201,693.40 is: 302,709.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,875.80 : 618,159.30 = 201,693.40 : x
  2. Step 2: Convert to fraction form
    411,875.80/618,159.30 = 201,693.40/x
  3. Step 3: Cross multiply
    411,875.80x = 618,159.30 × 201,693.40
  4. Step 4: Simplify right side
    411,875.80x = 124,678,650,958.62
  5. Step 5: Solve for x
    x = 124,678,650,958.62/411,875.80
  6. Step 6: Final answer
    x = 302,709.34

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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.