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Finding the Fourth Proportional to 686,714.40, 1,030,055.40 and 188,078.40

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Solution

The fourth proportional to 686,714.40, 1,030,055.40 and 188,078.40 is: 282,113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,714.40 : 1,030,055.40 = 188,078.40 : x
  2. Step 2: Convert to fraction form
    686,714.40/1,030,055.40 = 188,078.40/x
  3. Step 3: Cross multiply
    686,714.40x = 1,030,055.40 × 188,078.40
  4. Step 4: Simplify right side
    686,714.40x = 193,731,171,543.36
  5. Step 5: Solve for x
    x = 193,731,171,543.36/686,714.40
  6. Step 6: Final answer
    x = 282,113.16

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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.