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Finding the Fourth Proportional to 310,598.40, 465,897.60 and 110,925.30

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Solution

The fourth proportional to 310,598.40, 465,897.60 and 110,925.30 is: 166,387.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,598.40 : 465,897.60 = 110,925.30 : x
  2. Step 2: Convert to fraction form
    310,598.40/465,897.60 = 110,925.30/x
  3. Step 3: Cross multiply
    310,598.40x = 465,897.60 × 110,925.30
  4. Step 4: Simplify right side
    310,598.40x = 51,679,831,049.28
  5. Step 5: Solve for x
    x = 51,679,831,049.28/310,598.40
  6. Step 6: Final answer
    x = 166,387.95

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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.