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Finding the Fourth Proportional to 304,077.70, 456,116.55 and 291,636.10

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Solution

The fourth proportional to 304,077.70, 456,116.55 and 291,636.10 is: 437,454.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,077.70 : 456,116.55 = 291,636.10 : x
  2. Step 2: Convert to fraction form
    304,077.70/456,116.55 = 291,636.10/x
  3. Step 3: Cross multiply
    304,077.70x = 456,116.55 × 291,636.10
  4. Step 4: Simplify right side
    304,077.70x = 133,020,051,787.46
  5. Step 5: Solve for x
    x = 133,020,051,787.46/304,077.70
  6. Step 6: Final answer
    x = 437,454.15

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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.