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Finding the Fourth Proportional to 826,369, 1,140,445.68 and 458,865.10

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Solution

The fourth proportional to 826,369, 1,140,445.68 and 458,865.10 is: 633,265.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,369 : 1,140,445.68 = 458,865.10 : x
  2. Step 2: Convert to fraction form
    826,369/1,140,445.68 = 458,865.10/x
  3. Step 3: Cross multiply
    826,369x = 1,140,445.68 × 458,865.10
  4. Step 4: Simplify right side
    826,369x = 523,310,720,997.77
  5. Step 5: Solve for x
    x = 523,310,720,997.77/826,369
  6. Step 6: Final answer
    x = 633,265.19

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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.