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Finding the Fourth Proportional to 539,023.68, 808,576.56 and 314,406.48

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Solution

The fourth proportional to 539,023.68, 808,576.56 and 314,406.48 is: 471,633.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,023.68 : 808,576.56 = 314,406.48 : x
  2. Step 2: Convert to fraction form
    539,023.68/808,576.56 = 314,406.48/x
  3. Step 3: Cross multiply
    539,023.68x = 808,576.56 × 314,406.48
  4. Step 4: Simplify right side
    539,023.68x = 254,221,710,040.11
  5. Step 5: Solve for x
    x = 254,221,710,040.11/539,023.68
  6. Step 6: Final answer
    x = 471,633.66

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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.