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Finding the Fourth Proportional to 458,625.40, 687,354.90 and 221,457.40

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Solution

The fourth proportional to 458,625.40, 687,354.90 and 221,457.40 is: 331,904.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,625.40 : 687,354.90 = 221,457.40 : x
  2. Step 2: Convert to fraction form
    458,625.40/687,354.90 = 221,457.40/x
  3. Step 3: Cross multiply
    458,625.40x = 687,354.90 × 221,457.40
  4. Step 4: Simplify right side
    458,625.40x = 152,219,829,031.26
  5. Step 5: Solve for x
    x = 152,219,829,031.26/458,625.40
  6. Step 6: Final answer
    x = 331,904.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.