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Finding the Fourth Proportional to 597,907.80, 896,708.41 and 177,085.26

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Solution

The fourth proportional to 597,907.80, 896,708.41 and 177,085.26 is: 265,582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,907.80 : 896,708.41 = 177,085.26 : x
  2. Step 2: Convert to fraction form
    597,907.80/896,708.41 = 177,085.26/x
  3. Step 3: Cross multiply
    597,907.80x = 896,708.41 × 177,085.26
  4. Step 4: Simplify right side
    597,907.80x = 158,793,841,486.32
  5. Step 5: Solve for x
    x = 158,793,841,486.32/597,907.80
  6. Step 6: Final answer
    x = 265,582.49

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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.