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Finding the Fourth Proportional to 475,023.80, 713,054.10 and 265,071.80

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Solution

The fourth proportional to 475,023.80, 713,054.10 and 265,071.80 is: 397,896.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,023.80 : 713,054.10 = 265,071.80 : x
  2. Step 2: Convert to fraction form
    475,023.80/713,054.10 = 265,071.80/x
  3. Step 3: Cross multiply
    475,023.80x = 713,054.10 × 265,071.80
  4. Step 4: Simplify right side
    475,023.80x = 189,010,533,784.38
  5. Step 5: Solve for x
    x = 189,010,533,784.38/475,023.80
  6. Step 6: Final answer
    x = 397,896.98

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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.