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Finding the Fourth Proportional to 346,315.84, 519,080.40 and 146,511.52

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Solution

The fourth proportional to 346,315.84, 519,080.40 and 146,511.52 is: 219,600.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,315.84 : 519,080.40 = 146,511.52 : x
  2. Step 2: Convert to fraction form
    346,315.84/519,080.40 = 146,511.52/x
  3. Step 3: Cross multiply
    346,315.84x = 519,080.40 × 146,511.52
  4. Step 4: Simplify right side
    346,315.84x = 76,051,258,406.21
  5. Step 5: Solve for x
    x = 76,051,258,406.21/346,315.84
  6. Step 6: Final answer
    x = 219,600.87

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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.