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Finding the Fourth Proportional to 409,336.93, 564,902.40 and 228,048.76

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Solution

The fourth proportional to 409,336.93, 564,902.40 and 228,048.76 is: 314,717.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,336.93 : 564,902.40 = 228,048.76 : x
  2. Step 2: Convert to fraction form
    409,336.93/564,902.40 = 228,048.76/x
  3. Step 3: Cross multiply
    409,336.93x = 564,902.40 × 228,048.76
  4. Step 4: Simplify right side
    409,336.93x = 128,825,291,841.02
  5. Step 5: Solve for x
    x = 128,825,291,841.02/409,336.93
  6. Step 6: Final answer
    x = 314,717.00

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Why These Related Problems?

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