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Finding the Fourth Proportional to 421,732.36, 632,566.14 and 155,443.24

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Solution

The fourth proportional to 421,732.36, 632,566.14 and 155,443.24 is: 233,152.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,732.36 : 632,566.14 = 155,443.24 : x
  2. Step 2: Convert to fraction form
    421,732.36/632,566.14 = 155,443.24/x
  3. Step 3: Cross multiply
    421,732.36x = 632,566.14 × 155,443.24
  4. Step 4: Simplify right side
    421,732.36x = 98,328,130,315.89
  5. Step 5: Solve for x
    x = 98,328,130,315.89/421,732.36
  6. Step 6: Final answer
    x = 233,152.92

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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.