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Finding the Fourth Proportional to 310,904.06, 466,368.15 and 97,817.30

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Solution

The fourth proportional to 310,904.06, 466,368.15 and 97,817.30 is: 146,729.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,904.06 : 466,368.15 = 97,817.30 : x
  2. Step 2: Convert to fraction form
    310,904.06/466,368.15 = 97,817.30/x
  3. Step 3: Cross multiply
    310,904.06x = 466,368.15 × 97,817.30
  4. Step 4: Simplify right side
    310,904.06x = 45,618,873,239.00
  5. Step 5: Solve for x
    x = 45,618,873,239.00/310,904.06
  6. Step 6: Final answer
    x = 146,729.74

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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.