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Finding the Fourth Proportional to 539,820, 809,177.04 and 224,460

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Solution

The fourth proportional to 539,820, 809,177.04 and 224,460 is: 336,460.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,820 : 809,177.04 = 224,460 : x
  2. Step 2: Convert to fraction form
    539,820/809,177.04 = 224,460/x
  3. Step 3: Cross multiply
    539,820x = 809,177.04 × 224,460
  4. Step 4: Simplify right side
    539,820x = 181,627,878,398.40
  5. Step 5: Solve for x
    x = 181,627,878,398.40/539,820
  6. Step 6: Final answer
    x = 336,460.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.