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Finding the Fourth Proportional to 472,101, 707,636.34 and 232,379.88

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Solution

The fourth proportional to 472,101, 707,636.34 and 232,379.88 is: 348,316.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,101 : 707,636.34 = 232,379.88 : x
  2. Step 2: Convert to fraction form
    472,101/707,636.34 = 232,379.88/x
  3. Step 3: Cross multiply
    472,101x = 707,636.34 × 232,379.88
  4. Step 4: Simplify right side
    472,101x = 164,440,447,772.84
  5. Step 5: Solve for x
    x = 164,440,447,772.84/472,101
  6. Step 6: Final answer
    x = 348,316.25

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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.