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Finding the Fourth Proportional to 506,784.06, 699,333.03 and 280,416.06

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Solution

The fourth proportional to 506,784.06, 699,333.03 and 280,416.06 is: 386,958.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,784.06 : 699,333.03 = 280,416.06 : x
  2. Step 2: Convert to fraction form
    506,784.06/699,333.03 = 280,416.06/x
  3. Step 3: Cross multiply
    506,784.06x = 699,333.03 × 280,416.06
  4. Step 4: Simplify right side
    506,784.06x = 196,104,212,900.46
  5. Step 5: Solve for x
    x = 196,104,212,900.46/506,784.06
  6. Step 6: Final answer
    x = 386,958.13

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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.