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Finding the Fourth Proportional to 408,056.40, 571,869.48 and 408,056.40

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Solution

The fourth proportional to 408,056.40, 571,869.48 and 408,056.40 is: 571,869.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,056.40 : 571,869.48 = 408,056.40 : x
  2. Step 2: Convert to fraction form
    408,056.40/571,869.48 = 408,056.40/x
  3. Step 3: Cross multiply
    408,056.40x = 571,869.48 × 408,056.40
  4. Step 4: Simplify right side
    408,056.40x = 233,355,001,278.67
  5. Step 5: Solve for x
    x = 233,355,001,278.67/408,056.40
  6. Step 6: Final answer
    x = 571,869.48

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.