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Finding the Fourth Proportional to 503,289, 755,050.14 and 170,865

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Solution

The fourth proportional to 503,289, 755,050.14 and 170,865 is: 256,337.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,289 : 755,050.14 = 170,865 : x
  2. Step 2: Convert to fraction form
    503,289/755,050.14 = 170,865/x
  3. Step 3: Cross multiply
    503,289x = 755,050.14 × 170,865
  4. Step 4: Simplify right side
    503,289x = 129,011,642,171.10
  5. Step 5: Solve for x
    x = 129,011,642,171.10/503,289
  6. Step 6: Final answer
    x = 256,337.10

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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.