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Finding the Fourth Proportional to 472,914.75, 652,620 and 258,054.15

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Solution

The fourth proportional to 472,914.75, 652,620 and 258,054.15 is: 356,113.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,914.75 : 652,620 = 258,054.15 : x
  2. Step 2: Convert to fraction form
    472,914.75/652,620 = 258,054.15/x
  3. Step 3: Cross multiply
    472,914.75x = 652,620 × 258,054.15
  4. Step 4: Simplify right side
    472,914.75x = 168,411,299,373
  5. Step 5: Solve for x
    x = 168,411,299,373/472,914.75
  6. Step 6: Final answer
    x = 356,113.44

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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.