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Finding the Fourth Proportional to 304,254.84, 456,187.86 and 146,168.76

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Solution

The fourth proportional to 304,254.84, 456,187.86 and 146,168.76 is: 219,159.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,254.84 : 456,187.86 = 146,168.76 : x
  2. Step 2: Convert to fraction form
    304,254.84/456,187.86 = 146,168.76/x
  3. Step 3: Cross multiply
    304,254.84x = 456,187.86 × 146,168.76
  4. Step 4: Simplify right side
    304,254.84x = 66,680,413,823.25
  5. Step 5: Solve for x
    x = 66,680,413,823.25/304,254.84
  6. Step 6: Final answer
    x = 219,159.75

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1.5x scale

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.