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Finding the Fourth Proportional to 493,573.16, 740,359.84 and 178,030.03

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Solution

The fourth proportional to 493,573.16, 740,359.84 and 178,030.03 is: 267,045.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,573.16 : 740,359.84 = 178,030.03 : x
  2. Step 2: Convert to fraction form
    493,573.16/740,359.84 = 178,030.03/x
  3. Step 3: Cross multiply
    493,573.16x = 740,359.84 × 178,030.03
  4. Step 4: Simplify right side
    493,573.16x = 131,806,284,526.00
  5. Step 5: Solve for x
    x = 131,806,284,526.00/493,573.16
  6. Step 6: Final answer
    x = 267,045.08

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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.