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Finding the Fourth Proportional to 586,143.40, 879,205.56 and 186,778.78

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Solution

The fourth proportional to 586,143.40, 879,205.56 and 186,778.78 is: 280,165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,143.40 : 879,205.56 = 186,778.78 : x
  2. Step 2: Convert to fraction form
    586,143.40/879,205.56 = 186,778.78/x
  3. Step 3: Cross multiply
    586,143.40x = 879,205.56 × 186,778.78
  4. Step 4: Simplify right side
    586,143.40x = 164,216,941,866.02
  5. Step 5: Solve for x
    x = 164,216,941,866.02/586,143.40
  6. Step 6: Final answer
    x = 280,165.13

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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.