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Finding the Fourth Proportional to 473,621.43, 653,607 and 258,774.84

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Solution

The fourth proportional to 473,621.43, 653,607 and 258,774.84 is: 357,114.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,621.43 : 653,607 = 258,774.84 : x
  2. Step 2: Convert to fraction form
    473,621.43/653,607 = 258,774.84/x
  3. Step 3: Cross multiply
    473,621.43x = 653,607 × 258,774.84
  4. Step 4: Simplify right side
    473,621.43x = 169,137,046,847.88
  5. Step 5: Solve for x
    x = 169,137,046,847.88/473,621.43
  6. Step 6: Final answer
    x = 357,114.43

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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.