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Finding the Fourth Proportional to 473,447, 653,356.82 and 258,587.58

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Solution

The fourth proportional to 473,447, 653,356.82 and 258,587.58 is: 356,850.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,447 : 653,356.82 = 258,587.58 : x
  2. Step 2: Convert to fraction form
    473,447/653,356.82 = 258,587.58/x
  3. Step 3: Cross multiply
    473,447x = 653,356.82 × 258,587.58
  4. Step 4: Simplify right side
    473,447x = 168,949,958,960.30
  5. Step 5: Solve for x
    x = 168,949,958,960.30/473,447
  6. Step 6: Final answer
    x = 356,850.84

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1.5x scale

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.