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Finding the Fourth Proportional to 341,288.64, 470,759.04 and 207,152.64

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Solution

The fourth proportional to 341,288.64, 470,759.04 and 207,152.64 is: 285,737.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,288.64 : 470,759.04 = 207,152.64 : x
  2. Step 2: Convert to fraction form
    341,288.64/470,759.04 = 207,152.64/x
  3. Step 3: Cross multiply
    341,288.64x = 470,759.04 × 207,152.64
  4. Step 4: Simplify right side
    341,288.64x = 97,518,977,939.87
  5. Step 5: Solve for x
    x = 97,518,977,939.87/341,288.64
  6. Step 6: Final answer
    x = 285,737.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.