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Finding the Fourth Proportional to 310,465.80, 465,779.70 and 100,108.80

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Solution

The fourth proportional to 310,465.80, 465,779.70 and 100,108.80 is: 150,189.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,465.80 : 465,779.70 = 100,108.80 : x
  2. Step 2: Convert to fraction form
    310,465.80/465,779.70 = 100,108.80/x
  3. Step 3: Cross multiply
    310,465.80x = 465,779.70 × 100,108.80
  4. Step 4: Simplify right side
    310,465.80x = 46,628,646,831.36
  5. Step 5: Solve for x
    x = 46,628,646,831.36/310,465.80
  6. Step 6: Final answer
    x = 150,189.32

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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.