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Finding the Fourth Proportional to 473,055.09, 652,810.69 and 269,101.24

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Solution

The fourth proportional to 473,055.09, 652,810.69 and 269,101.24 is: 371,356.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,055.09 : 652,810.69 = 269,101.24 : x
  2. Step 2: Convert to fraction form
    473,055.09/652,810.69 = 269,101.24/x
  3. Step 3: Cross multiply
    473,055.09x = 652,810.69 × 269,101.24
  4. Step 4: Simplify right side
    473,055.09x = 175,672,164,868.61
  5. Step 5: Solve for x
    x = 175,672,164,868.61/473,055.09
  6. Step 6: Final answer
    x = 371,356.68

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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.