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Finding the Fourth Proportional to 473,833.02, 710,644.74 and 136,800.39

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Solution

The fourth proportional to 473,833.02, 710,644.74 and 136,800.39 is: 205,170.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,833.02 : 710,644.74 = 136,800.39 : x
  2. Step 2: Convert to fraction form
    473,833.02/710,644.74 = 136,800.39/x
  3. Step 3: Cross multiply
    473,833.02x = 710,644.74 × 136,800.39
  4. Step 4: Simplify right side
    473,833.02x = 97,216,477,583.45
  5. Step 5: Solve for x
    x = 97,216,477,583.45/473,833.02
  6. Step 6: Final answer
    x = 205,170.33

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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.