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Finding the Fourth Proportional to 408,206.51, 563,128.76 and 265,011.47

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Solution

The fourth proportional to 408,206.51, 563,128.76 and 265,011.47 is: 365,588.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,206.51 : 563,128.76 = 265,011.47 : x
  2. Step 2: Convert to fraction form
    408,206.51/563,128.76 = 265,011.47/x
  3. Step 3: Cross multiply
    408,206.51x = 563,128.76 × 265,011.47
  4. Step 4: Simplify right side
    408,206.51x = 149,235,578,333.76
  5. Step 5: Solve for x
    x = 149,235,578,333.76/408,206.51
  6. Step 6: Final answer
    x = 365,588.44

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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.