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Finding the Fourth Proportional to 346,034.40, 519,051.60 and 159,410.40

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Solution

The fourth proportional to 346,034.40, 519,051.60 and 159,410.40 is: 239,115.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,034.40 : 519,051.60 = 159,410.40 : x
  2. Step 2: Convert to fraction form
    346,034.40/519,051.60 = 159,410.40/x
  3. Step 3: Cross multiply
    346,034.40x = 519,051.60 × 159,410.40
  4. Step 4: Simplify right side
    346,034.40x = 82,742,223,176.64
  5. Step 5: Solve for x
    x = 82,742,223,176.64/346,034.40
  6. Step 6: Final answer
    x = 239,115.60

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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.