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Finding the Fourth Proportional to 586,143.90, 879,206.31 and 186,779.28

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Solution

The fourth proportional to 586,143.90, 879,206.31 and 186,779.28 is: 280,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,143.90 : 879,206.31 = 186,779.28 : x
  2. Step 2: Convert to fraction form
    586,143.90/879,206.31 = 186,779.28/x
  3. Step 3: Cross multiply
    586,143.90x = 879,206.31 × 186,779.28
  4. Step 4: Simplify right side
    586,143.90x = 164,217,521,553.26
  5. Step 5: Solve for x
    x = 164,217,521,553.26/586,143.90
  6. Step 6: Final answer
    x = 280,165.88

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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.