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Finding the Fourth Proportional to 409,332.96, 564,865.25 and 228,035.52

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Solution

The fourth proportional to 409,332.96, 564,865.25 and 228,035.52 is: 314,681.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,332.96 : 564,865.25 = 228,035.52 : x
  2. Step 2: Convert to fraction form
    409,332.96/564,865.25 = 228,035.52/x
  3. Step 3: Cross multiply
    409,332.96x = 564,865.25 × 228,035.52
  4. Step 4: Simplify right side
    409,332.96x = 128,809,339,873.50
  5. Step 5: Solve for x
    x = 128,809,339,873.50/409,332.96
  6. Step 6: Final answer
    x = 314,681.08

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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.