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Finding the Fourth Proportional to 473,039.80, 652,810.08 and 269,085.40

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Solution

The fourth proportional to 473,039.80, 652,810.08 and 269,085.40 is: 371,346.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,039.80 : 652,810.08 = 269,085.40 : x
  2. Step 2: Convert to fraction form
    473,039.80/652,810.08 = 269,085.40/x
  3. Step 3: Cross multiply
    473,039.80x = 652,810.08 × 269,085.40
  4. Step 4: Simplify right side
    473,039.80x = 175,661,661,500.83
  5. Step 5: Solve for x
    x = 175,661,661,500.83/473,039.80
  6. Step 6: Final answer
    x = 371,346.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.