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Finding the Fourth Proportional to 402,503.70, 555,443.34 and 230,415.96

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Solution

The fourth proportional to 402,503.70, 555,443.34 and 230,415.96 is: 317,967.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,503.70 : 555,443.34 = 230,415.96 : x
  2. Step 2: Convert to fraction form
    402,503.70/555,443.34 = 230,415.96/x
  3. Step 3: Cross multiply
    402,503.70x = 555,443.34 × 230,415.96
  4. Step 4: Simplify right side
    402,503.70x = 127,983,009,802.28
  5. Step 5: Solve for x
    x = 127,983,009,802.28/402,503.70
  6. Step 6: Final answer
    x = 317,967.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.