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Finding the Fourth Proportional to 434,900.64, 652,088.84 and 194,971.13

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Solution

The fourth proportional to 434,900.64, 652,088.84 and 194,971.13 is: 292,339.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,900.64 : 652,088.84 = 194,971.13 : x
  2. Step 2: Convert to fraction form
    434,900.64/652,088.84 = 194,971.13/x
  3. Step 3: Cross multiply
    434,900.64x = 652,088.84 × 194,971.13
  4. Step 4: Simplify right side
    434,900.64x = 127,138,498,650.56
  5. Step 5: Solve for x
    x = 127,138,498,650.56/434,900.64
  6. Step 6: Final answer
    x = 292,339.18

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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.