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Finding the Fourth Proportional to 586,939.36, 880,443.68 and 166,180

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Solution

The fourth proportional to 586,939.36, 880,443.68 and 166,180 is: 249,279.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,939.36 : 880,443.68 = 166,180 : x
  2. Step 2: Convert to fraction form
    586,939.36/880,443.68 = 166,180/x
  3. Step 3: Cross multiply
    586,939.36x = 880,443.68 × 166,180
  4. Step 4: Simplify right side
    586,939.36x = 146,312,130,742.40
  5. Step 5: Solve for x
    x = 146,312,130,742.40/586,939.36
  6. Step 6: Final answer
    x = 249,279.81

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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.