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Finding the Fourth Proportional to 538,714.90, 808,947.15 and 362,005.30

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Solution

The fourth proportional to 538,714.90, 808,947.15 and 362,005.30 is: 543,595.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,714.90 : 808,947.15 = 362,005.30 : x
  2. Step 2: Convert to fraction form
    538,714.90/808,947.15 = 362,005.30/x
  3. Step 3: Cross multiply
    538,714.90x = 808,947.15 × 362,005.30
  4. Step 4: Simplify right side
    538,714.90x = 292,843,155,719.90
  5. Step 5: Solve for x
    x = 292,843,155,719.90/538,714.90
  6. Step 6: Final answer
    x = 543,595.80

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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.