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Finding the Fourth Proportional to 473,401.20, 710,105.40 and 157,857.60

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Solution

The fourth proportional to 473,401.20, 710,105.40 and 157,857.60 is: 236,787.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,401.20 : 710,105.40 = 157,857.60 : x
  2. Step 2: Convert to fraction form
    473,401.20/710,105.40 = 157,857.60/x
  3. Step 3: Cross multiply
    473,401.20x = 710,105.40 × 157,857.60
  4. Step 4: Simplify right side
    473,401.20x = 112,095,534,191.04
  5. Step 5: Solve for x
    x = 112,095,534,191.04/473,401.20
  6. Step 6: Final answer
    x = 236,787.60

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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.