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Finding the Fourth Proportional to 346,708.80, 520,063.20 and 160,084.80

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Solution

The fourth proportional to 346,708.80, 520,063.20 and 160,084.80 is: 240,127.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,708.80 : 520,063.20 = 160,084.80 : x
  2. Step 2: Convert to fraction form
    346,708.80/520,063.20 = 160,084.80/x
  3. Step 3: Cross multiply
    346,708.80x = 520,063.20 × 160,084.80
  4. Step 4: Simplify right side
    346,708.80x = 83,254,213,359.36
  5. Step 5: Solve for x
    x = 83,254,213,359.36/346,708.80
  6. Step 6: Final answer
    x = 240,127.20

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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.