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Finding the Fourth Proportional to 346,669.80, 520,004.70 and 189,205.80

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Solution

The fourth proportional to 346,669.80, 520,004.70 and 189,205.80 is: 283,808.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,669.80 : 520,004.70 = 189,205.80 : x
  2. Step 2: Convert to fraction form
    346,669.80/520,004.70 = 189,205.80/x
  3. Step 3: Cross multiply
    346,669.80x = 520,004.70 × 189,205.80
  4. Step 4: Simplify right side
    346,669.80x = 98,387,905,267.26
  5. Step 5: Solve for x
    x = 98,387,905,267.26/346,669.80
  6. Step 6: Final answer
    x = 283,808.70

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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.