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Finding the Fourth Proportional to 534,740.80, 802,081.68 and 179,718.16

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Solution

The fourth proportional to 534,740.80, 802,081.68 and 179,718.16 is: 269,567.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,740.80 : 802,081.68 = 179,718.16 : x
  2. Step 2: Convert to fraction form
    534,740.80/802,081.68 = 179,718.16/x
  3. Step 3: Cross multiply
    534,740.80x = 802,081.68 × 179,718.16
  4. Step 4: Simplify right side
    534,740.80x = 144,148,643,699.31
  5. Step 5: Solve for x
    x = 144,148,643,699.31/534,740.80
  6. Step 6: Final answer
    x = 269,567.32

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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.