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Finding the Fourth Proportional to 346,698.80, 519,659.40 and 146,985.20

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Solution

The fourth proportional to 346,698.80, 519,659.40 and 146,985.20 is: 220,312.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,698.80 : 519,659.40 = 146,985.20 : x
  2. Step 2: Convert to fraction form
    346,698.80/519,659.40 = 146,985.20/x
  3. Step 3: Cross multiply
    346,698.80x = 519,659.40 × 146,985.20
  4. Step 4: Simplify right side
    346,698.80x = 76,382,240,840.88
  5. Step 5: Solve for x
    x = 76,382,240,840.88/346,698.80
  6. Step 6: Final answer
    x = 220,312.97

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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.