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Finding the Fourth Proportional to 346,335.68, 519,558.20 and 146,657.31

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Solution

The fourth proportional to 346,335.68, 519,558.20 and 146,657.31 is: 220,009.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,335.68 : 519,558.20 = 146,657.31 : x
  2. Step 2: Convert to fraction form
    346,335.68/519,558.20 = 146,657.31/x
  3. Step 3: Cross multiply
    346,335.68x = 519,558.20 × 146,657.31
  4. Step 4: Simplify right side
    346,335.68x = 76,197,007,267.16
  5. Step 5: Solve for x
    x = 76,197,007,267.16/346,335.68
  6. Step 6: Final answer
    x = 220,009.12

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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.