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Finding the Fourth Proportional to 549,296.60, 823,944.90 and 460,723.10

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Solution

The fourth proportional to 549,296.60, 823,944.90 and 460,723.10 is: 691,084.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,296.60 : 823,944.90 = 460,723.10 : x
  2. Step 2: Convert to fraction form
    549,296.60/823,944.90 = 460,723.10/x
  3. Step 3: Cross multiply
    549,296.60x = 823,944.90 × 460,723.10
  4. Step 4: Simplify right side
    549,296.60x = 379,610,448,557.19
  5. Step 5: Solve for x
    x = 379,610,448,557.19/549,296.60
  6. Step 6: Final answer
    x = 691,084.65

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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.