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Finding the Fourth Proportional to 310,098.60, 464,852.64 and 99,588.91

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Solution

The fourth proportional to 310,098.60, 464,852.64 and 99,588.91 is: 149,288.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,098.60 : 464,852.64 = 99,588.91 : x
  2. Step 2: Convert to fraction form
    310,098.60/464,852.64 = 99,588.91/x
  3. Step 3: Cross multiply
    310,098.60x = 464,852.64 × 99,588.91
  4. Step 4: Simplify right side
    310,098.60x = 46,294,167,728.22
  5. Step 5: Solve for x
    x = 46,294,167,728.22/310,098.60
  6. Step 6: Final answer
    x = 149,288.54

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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.