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Finding the Fourth Proportional to 460,068.76, 634,748.34 and 258,825.88

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Solution

The fourth proportional to 460,068.76, 634,748.34 and 258,825.88 is: 357,097.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,068.76 : 634,748.34 = 258,825.88 : x
  2. Step 2: Convert to fraction form
    460,068.76/634,748.34 = 258,825.88/x
  3. Step 3: Cross multiply
    460,068.76x = 634,748.34 × 258,825.88
  4. Step 4: Simplify right side
    460,068.76x = 164,289,297,679.04
  5. Step 5: Solve for x
    x = 164,289,297,679.04/460,068.76
  6. Step 6: Final answer
    x = 357,097.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.