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Finding the Fourth Proportional to 346,514.70, 519,966.45 and 146,801.10

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Solution

The fourth proportional to 346,514.70, 519,966.45 and 146,801.10 is: 220,284.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,514.70 : 519,966.45 = 146,801.10 : x
  2. Step 2: Convert to fraction form
    346,514.70/519,966.45 = 146,801.10/x
  3. Step 3: Cross multiply
    346,514.70x = 519,966.45 × 146,801.10
  4. Step 4: Simplify right side
    346,514.70x = 76,331,646,823.10
  5. Step 5: Solve for x
    x = 76,331,646,823.10/346,514.70
  6. Step 6: Final answer
    x = 220,284.01

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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.