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Finding the Fourth Proportional to 380,416.22, 569,783.24 and 260,188.22

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Solution

The fourth proportional to 380,416.22, 569,783.24 and 260,188.22 is: 389,707.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,416.22 : 569,783.24 = 260,188.22 : x
  2. Step 2: Convert to fraction form
    380,416.22/569,783.24 = 260,188.22/x
  3. Step 3: Cross multiply
    380,416.22x = 569,783.24 × 260,188.22
  4. Step 4: Simplify right side
    380,416.22x = 148,250,884,802.99
  5. Step 5: Solve for x
    x = 148,250,884,802.99/380,416.22
  6. Step 6: Final answer
    x = 389,707.06

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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.