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Finding the Fourth Proportional to 586,095.70, 879,057.15 and 165,414.10

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Solution

The fourth proportional to 586,095.70, 879,057.15 and 165,414.10 is: 248,096.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,095.70 : 879,057.15 = 165,414.10 : x
  2. Step 2: Convert to fraction form
    586,095.70/879,057.15 = 165,414.10/x
  3. Step 3: Cross multiply
    586,095.70x = 879,057.15 × 165,414.10
  4. Step 4: Simplify right side
    586,095.70x = 145,408,447,315.82
  5. Step 5: Solve for x
    x = 145,408,447,315.82/586,095.70
  6. Step 6: Final answer
    x = 248,096.77

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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.