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Finding the Fourth Proportional to 471,352, 707,029.46 and 116,366.06

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Solution

The fourth proportional to 471,352, 707,029.46 and 116,366.06 is: 174,549.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,352 : 707,029.46 = 116,366.06 : x
  2. Step 2: Convert to fraction form
    471,352/707,029.46 = 116,366.06/x
  3. Step 3: Cross multiply
    471,352x = 707,029.46 × 116,366.06
  4. Step 4: Simplify right side
    471,352x = 82,274,232,564.13
  5. Step 5: Solve for x
    x = 82,274,232,564.13/471,352
  6. Step 6: Final answer
    x = 174,549.45

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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.