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Finding the Fourth Proportional to 460,081.68, 634,897.14 and 258,838.80

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Solution

The fourth proportional to 460,081.68, 634,897.14 and 258,838.80 is: 357,188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,081.68 : 634,897.14 = 258,838.80 : x
  2. Step 2: Convert to fraction form
    460,081.68/634,897.14 = 258,838.80/x
  3. Step 3: Cross multiply
    460,081.68x = 634,897.14 × 258,838.80
  4. Step 4: Simplify right side
    460,081.68x = 164,336,013,841.03
  5. Step 5: Solve for x
    x = 164,336,013,841.03/460,081.68
  6. Step 6: Final answer
    x = 357,188.78

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