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Finding the Fourth Proportional to 409,312.66, 564,868.43 and 228,024.49

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Solution

The fourth proportional to 409,312.66, 564,868.43 and 228,024.49 is: 314,683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,312.66 : 564,868.43 = 228,024.49 : x
  2. Step 2: Convert to fraction form
    409,312.66/564,868.43 = 228,024.49/x
  3. Step 3: Cross multiply
    409,312.66x = 564,868.43 × 228,024.49
  4. Step 4: Simplify right side
    409,312.66x = 128,803,835,667.85
  5. Step 5: Solve for x
    x = 128,803,835,667.85/409,312.66
  6. Step 6: Final answer
    x = 314,683.24

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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.