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Finding the Fourth Proportional to 387,722.40, 581,602.80 and 201,098.40

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Solution

The fourth proportional to 387,722.40, 581,602.80 and 201,098.40 is: 301,657.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,722.40 : 581,602.80 = 201,098.40 : x
  2. Step 2: Convert to fraction form
    387,722.40/581,602.80 = 201,098.40/x
  3. Step 3: Cross multiply
    387,722.40x = 581,602.80 × 201,098.40
  4. Step 4: Simplify right side
    387,722.40x = 116,959,392,515.52
  5. Step 5: Solve for x
    x = 116,959,392,515.52/387,722.40
  6. Step 6: Final answer
    x = 301,657.56

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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.