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Finding the Fourth Proportional to 346,508.64, 519,836.40 and 109,820.16

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Solution

The fourth proportional to 346,508.64, 519,836.40 and 109,820.16 is: 164,753.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,508.64 : 519,836.40 = 109,820.16 : x
  2. Step 2: Convert to fraction form
    346,508.64/519,836.40 = 109,820.16/x
  3. Step 3: Cross multiply
    346,508.64x = 519,836.40 × 109,820.16
  4. Step 4: Simplify right side
    346,508.64x = 57,088,516,621.82
  5. Step 5: Solve for x
    x = 57,088,516,621.82/346,508.64
  6. Step 6: Final answer
    x = 164,753.52

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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.