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Finding the Fourth Proportional to 458,666.40, 687,416.40 and 221,498.40

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Solution

The fourth proportional to 458,666.40, 687,416.40 and 221,498.40 is: 331,965.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,666.40 : 687,416.40 = 221,498.40 : x
  2. Step 2: Convert to fraction form
    458,666.40/687,416.40 = 221,498.40/x
  3. Step 3: Cross multiply
    458,666.40x = 687,416.40 × 221,498.40
  4. Step 4: Simplify right side
    458,666.40x = 152,261,632,733.76
  5. Step 5: Solve for x
    x = 152,261,632,733.76/458,666.40
  6. Step 6: Final answer
    x = 331,965.96

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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.