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Finding the Fourth Proportional to 410,938.80, 616,019.40 and 242,588.40

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Solution

The fourth proportional to 410,938.80, 616,019.40 and 242,588.40 is: 363,653.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,938.80 : 616,019.40 = 242,588.40 : x
  2. Step 2: Convert to fraction form
    410,938.80/616,019.40 = 242,588.40/x
  3. Step 3: Cross multiply
    410,938.80x = 616,019.40 × 242,588.40
  4. Step 4: Simplify right side
    410,938.80x = 149,439,160,614.96
  5. Step 5: Solve for x
    x = 149,439,160,614.96/410,938.80
  6. Step 6: Final answer
    x = 363,653.08

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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.