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Finding the Fourth Proportional to 538,360.07, 742,970.00 and 296,642.58

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Solution

The fourth proportional to 538,360.07, 742,970.00 and 296,642.58 is: 409,385.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,360.07 : 742,970.00 = 296,642.58 : x
  2. Step 2: Convert to fraction form
    538,360.07/742,970.00 = 296,642.58/x
  3. Step 3: Cross multiply
    538,360.07x = 742,970.00 × 296,642.58
  4. Step 4: Simplify right side
    538,360.07x = 220,396,536,179.39
  5. Step 5: Solve for x
    x = 220,396,536,179.39/538,360.07
  6. Step 6: Final answer
    x = 409,385.00

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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.