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Finding the Fourth Proportional to 505,527.37, 697,307.38 and 384,403.11

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Solution

The fourth proportional to 505,527.37, 697,307.38 and 384,403.11 is: 530,232.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,527.37 : 697,307.38 = 384,403.11 : x
  2. Step 2: Convert to fraction form
    505,527.37/697,307.38 = 384,403.11/x
  3. Step 3: Cross multiply
    505,527.37x = 697,307.38 × 384,403.11
  4. Step 4: Simplify right side
    505,527.37x = 268,047,125,497.95
  5. Step 5: Solve for x
    x = 268,047,125,497.95/505,527.37
  6. Step 6: Final answer
    x = 530,232.67

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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.