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Finding the Fourth Proportional to 473,120.84, 652,884 and 269,152.58

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Solution

The fourth proportional to 473,120.84, 652,884 and 269,152.58 is: 371,417.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,120.84 : 652,884 = 269,152.58 : x
  2. Step 2: Convert to fraction form
    473,120.84/652,884 = 269,152.58/x
  3. Step 3: Cross multiply
    473,120.84x = 652,884 × 269,152.58
  4. Step 4: Simplify right side
    473,120.84x = 175,725,413,040.72
  5. Step 5: Solve for x
    x = 175,725,413,040.72/473,120.84
  6. Step 6: Final answer
    x = 371,417.61

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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.