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Finding the Fourth Proportional to 614,841.60, 922,262.40 and 194,062.80

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Solution

The fourth proportional to 614,841.60, 922,262.40 and 194,062.80 is: 291,094.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,841.60 : 922,262.40 = 194,062.80 : x
  2. Step 2: Convert to fraction form
    614,841.60/922,262.40 = 194,062.80/x
  3. Step 3: Cross multiply
    614,841.60x = 922,262.40 × 194,062.80
  4. Step 4: Simplify right side
    614,841.60x = 178,976,823,678.72
  5. Step 5: Solve for x
    x = 178,976,823,678.72/614,841.60
  6. Step 6: Final answer
    x = 291,094.20

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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.