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Finding the Fourth Proportional to 505,543.56, 697,329.74 and 384,419.30

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Solution

The fourth proportional to 505,543.56, 697,329.74 and 384,419.30 is: 530,255.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,543.56 : 697,329.74 = 384,419.30 : x
  2. Step 2: Convert to fraction form
    505,543.56/697,329.74 = 384,419.30/x
  3. Step 3: Cross multiply
    505,543.56x = 697,329.74 × 384,419.30
  4. Step 4: Simplify right side
    505,543.56x = 268,067,008,597.89
  5. Step 5: Solve for x
    x = 268,067,008,597.89/505,543.56
  6. Step 6: Final answer
    x = 530,255.02

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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.