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Finding the Fourth Proportional to 497,464.36, 686,503.10 and 282,616.21

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Solution

The fourth proportional to 497,464.36, 686,503.10 and 282,616.21 is: 390,011.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,464.36 : 686,503.10 = 282,616.21 : x
  2. Step 2: Convert to fraction form
    497,464.36/686,503.10 = 282,616.21/x
  3. Step 3: Cross multiply
    497,464.36x = 686,503.10 × 282,616.21
  4. Step 4: Simplify right side
    497,464.36x = 194,016,906,180.99
  5. Step 5: Solve for x
    x = 194,016,906,180.99/497,464.36
  6. Step 6: Final answer
    x = 390,011.67

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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.