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Finding the Fourth Proportional to 408,057.16, 571,870.50 and 408,057.16

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Solution

The fourth proportional to 408,057.16, 571,870.50 and 408,057.16 is: 571,870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,057.16 : 571,870.50 = 408,057.16 : x
  2. Step 2: Convert to fraction form
    408,057.16/571,870.50 = 408,057.16/x
  3. Step 3: Cross multiply
    408,057.16x = 571,870.50 × 408,057.16
  4. Step 4: Simplify right side
    408,057.16x = 233,355,852,117.78
  5. Step 5: Solve for x
    x = 233,355,852,117.78/408,057.16
  6. Step 6: Final answer
    x = 571,870.50

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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.