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Finding the Fourth Proportional to 405,988.02, 560,264.64 and 224,712.54

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Solution

The fourth proportional to 405,988.02, 560,264.64 and 224,712.54 is: 310,103.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,988.02 : 560,264.64 = 224,712.54 : x
  2. Step 2: Convert to fraction form
    405,988.02/560,264.64 = 224,712.54/x
  3. Step 3: Cross multiply
    405,988.02x = 560,264.64 × 224,712.54
  4. Step 4: Simplify right side
    405,988.02x = 125,898,490,326.59
  5. Step 5: Solve for x
    x = 125,898,490,326.59/405,988.02
  6. Step 6: Final answer
    x = 310,103.95

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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.