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Finding the Fourth Proportional to 460,059.40, 690,110.70 and 144,526.60

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Solution

The fourth proportional to 460,059.40, 690,110.70 and 144,526.60 is: 216,796.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,059.40 : 690,110.70 = 144,526.60 : x
  2. Step 2: Convert to fraction form
    460,059.40/690,110.70 = 144,526.60/x
  3. Step 3: Cross multiply
    460,059.40x = 690,110.70 × 144,526.60
  4. Step 4: Simplify right side
    460,059.40x = 99,739,353,094.62
  5. Step 5: Solve for x
    x = 99,739,353,094.62/460,059.40
  6. Step 6: Final answer
    x = 216,796.69

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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.