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Finding the Fourth Proportional to 304,315.40, 456,473.10 and 114,746.60

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Solution

The fourth proportional to 304,315.40, 456,473.10 and 114,746.60 is: 172,119.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,315.40 : 456,473.10 = 114,746.60 : x
  2. Step 2: Convert to fraction form
    304,315.40/456,473.10 = 114,746.60/x
  3. Step 3: Cross multiply
    304,315.40x = 456,473.10 × 114,746.60
  4. Step 4: Simplify right side
    304,315.40x = 52,378,736,216.46
  5. Step 5: Solve for x
    x = 52,378,736,216.46/304,315.40
  6. Step 6: Final answer
    x = 172,119.90

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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.