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Finding the Fourth Proportional to 310,570.30, 465,746.10 and 110,897.20

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Solution

The fourth proportional to 310,570.30, 465,746.10 and 110,897.20 is: 166,306.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,570.30 : 465,746.10 = 110,897.20 : x
  2. Step 2: Convert to fraction form
    310,570.30/465,746.10 = 110,897.20/x
  3. Step 3: Cross multiply
    310,570.30x = 465,746.10 × 110,897.20
  4. Step 4: Simplify right side
    310,570.30x = 51,649,938,400.92
  5. Step 5: Solve for x
    x = 51,649,938,400.92/310,570.30
  6. Step 6: Final answer
    x = 166,306.75

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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.