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Finding the Fourth Proportional to 475,823.50, 713,509.24 and 276,205.06

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Solution

The fourth proportional to 475,823.50, 713,509.24 and 276,205.06 is: 414,176.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,823.50 : 713,509.24 = 276,205.06 : x
  2. Step 2: Convert to fraction form
    475,823.50/713,509.24 = 276,205.06/x
  3. Step 3: Cross multiply
    475,823.50x = 713,509.24 × 276,205.06
  4. Step 4: Simplify right side
    475,823.50x = 197,074,862,444.75
  5. Step 5: Solve for x
    x = 197,074,862,444.75/475,823.50
  6. Step 6: Final answer
    x = 414,176.40

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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.