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Finding the Fourth Proportional to 421,435.07, 632,153.24 and 172,117.07

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Solution

The fourth proportional to 421,435.07, 632,153.24 and 172,117.07 is: 258,175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,435.07 : 632,153.24 = 172,117.07 : x
  2. Step 2: Convert to fraction form
    421,435.07/632,153.24 = 172,117.07/x
  3. Step 3: Cross multiply
    421,435.07x = 632,153.24 × 172,117.07
  4. Step 4: Simplify right side
    421,435.07x = 108,804,359,438.46
  5. Step 5: Solve for x
    x = 108,804,359,438.46/421,435.07
  6. Step 6: Final answer
    x = 258,175.86

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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.