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Finding the Fourth Proportional to 310,711.23, 465,064.47 and 160,745.00

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Solution

The fourth proportional to 310,711.23, 465,064.47 and 160,745.00 is: 240,598.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,711.23 : 465,064.47 = 160,745.00 : x
  2. Step 2: Convert to fraction form
    310,711.23/465,064.47 = 160,745.00/x
  3. Step 3: Cross multiply
    310,711.23x = 465,064.47 × 160,745.00
  4. Step 4: Simplify right side
    310,711.23x = 74,756,785,904.83
  5. Step 5: Solve for x
    x = 74,756,785,904.83/310,711.23
  6. Step 6: Final answer
    x = 240,598.92

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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.