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Finding the Fourth Proportional to 476,465.34, 713,162.25 and 262,897.50

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Solution

The fourth proportional to 476,465.34, 713,162.25 and 262,897.50 is: 393,498.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,465.34 : 713,162.25 = 262,897.50 : x
  2. Step 2: Convert to fraction form
    476,465.34/713,162.25 = 262,897.50/x
  3. Step 3: Cross multiply
    476,465.34x = 713,162.25 × 262,897.50
  4. Step 4: Simplify right side
    476,465.34x = 187,488,572,619.38
  5. Step 5: Solve for x
    x = 187,488,572,619.38/476,465.34
  6. Step 6: Final answer
    x = 393,498.87

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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.