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Finding the Fourth Proportional to 506,816.16, 699,402.24 and 280,474.08

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Solution

The fourth proportional to 506,816.16, 699,402.24 and 280,474.08 is: 387,051.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,816.16 : 699,402.24 = 280,474.08 : x
  2. Step 2: Convert to fraction form
    506,816.16/699,402.24 = 280,474.08/x
  3. Step 3: Cross multiply
    506,816.16x = 699,402.24 × 280,474.08
  4. Step 4: Simplify right side
    506,816.16x = 196,164,199,813.94
  5. Step 5: Solve for x
    x = 196,164,199,813.94/506,816.16
  6. Step 6: Final answer
    x = 387,051.98

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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.