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Finding the Fourth Proportional to 576,805.64, 865,210.59 and 177,443.64

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Solution

The fourth proportional to 576,805.64, 865,210.59 and 177,443.64 is: 266,166.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,805.64 : 865,210.59 = 177,443.64 : x
  2. Step 2: Convert to fraction form
    576,805.64/865,210.59 = 177,443.64/x
  3. Step 3: Cross multiply
    576,805.64x = 865,210.59 × 177,443.64
  4. Step 4: Simplify right side
    576,805.64x = 153,526,116,456.15
  5. Step 5: Solve for x
    x = 153,526,116,456.15/576,805.64
  6. Step 6: Final answer
    x = 266,166.12

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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.