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Finding the Fourth Proportional to 310,495.72, 465,746.54 and 170,177.80

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Solution

The fourth proportional to 310,495.72, 465,746.54 and 170,177.80 is: 255,268.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,495.72 : 465,746.54 = 170,177.80 : x
  2. Step 2: Convert to fraction form
    310,495.72/465,746.54 = 170,177.80/x
  3. Step 3: Cross multiply
    310,495.72x = 465,746.54 × 170,177.80
  4. Step 4: Simplify right side
    310,495.72x = 79,259,721,534.81
  5. Step 5: Solve for x
    x = 79,259,721,534.81/310,495.72
  6. Step 6: Final answer
    x = 255,268.32

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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.