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Finding the Fourth Proportional to 280,971.60, 421,457.40 and 280,971.60

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Solution

The fourth proportional to 280,971.60, 421,457.40 and 280,971.60 is: 421,457.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,971.60 : 421,457.40 = 280,971.60 : x
  2. Step 2: Convert to fraction form
    280,971.60/421,457.40 = 280,971.60/x
  3. Step 3: Cross multiply
    280,971.60x = 421,457.40 × 280,971.60
  4. Step 4: Simplify right side
    280,971.60x = 118,417,560,009.84
  5. Step 5: Solve for x
    x = 118,417,560,009.84/280,971.60
  6. Step 6: Final answer
    x = 421,457.40

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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.