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Finding the Fourth Proportional to 315,745.02, 473,679.80 and 102,473.16

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Solution

The fourth proportional to 315,745.02, 473,679.80 and 102,473.16 is: 153,729.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,745.02 : 473,679.80 = 102,473.16 : x
  2. Step 2: Convert to fraction form
    315,745.02/473,679.80 = 102,473.16/x
  3. Step 3: Cross multiply
    315,745.02x = 473,679.80 × 102,473.16
  4. Step 4: Simplify right side
    315,745.02x = 48,539,465,934.17
  5. Step 5: Solve for x
    x = 48,539,465,934.17/315,745.02
  6. Step 6: Final answer
    x = 153,729.95

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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.