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Finding the Fourth Proportional to 586,253.36, 879,443.76 and 186,800.24

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Solution

The fourth proportional to 586,253.36, 879,443.76 and 186,800.24 is: 280,220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,253.36 : 879,443.76 = 186,800.24 : x
  2. Step 2: Convert to fraction form
    586,253.36/879,443.76 = 186,800.24/x
  3. Step 3: Cross multiply
    586,253.36x = 879,443.76 × 186,800.24
  4. Step 4: Simplify right side
    586,253.36x = 164,280,305,434.50
  5. Step 5: Solve for x
    x = 164,280,305,434.50/586,253.36
  6. Step 6: Final answer
    x = 280,220.66

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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.