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Finding the Fourth Proportional to 421,303.24, 632,000.94 and 155,191.24

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Solution

The fourth proportional to 421,303.24, 632,000.94 and 155,191.24 is: 232,803.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,303.24 : 632,000.94 = 155,191.24 : x
  2. Step 2: Convert to fraction form
    421,303.24/632,000.94 = 155,191.24/x
  3. Step 3: Cross multiply
    421,303.24x = 632,000.94 × 155,191.24
  4. Step 4: Simplify right side
    421,303.24x = 98,081,009,559.77
  5. Step 5: Solve for x
    x = 98,081,009,559.77/421,303.24
  6. Step 6: Final answer
    x = 232,803.83

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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.