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Finding the Fourth Proportional to 304,000.10, 456,000.15 and 114,460.10

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Solution

The fourth proportional to 304,000.10, 456,000.15 and 114,460.10 is: 171,690.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,000.10 : 456,000.15 = 114,460.10 : x
  2. Step 2: Convert to fraction form
    304,000.10/456,000.15 = 114,460.10/x
  3. Step 3: Cross multiply
    304,000.10x = 456,000.15 × 114,460.10
  4. Step 4: Simplify right side
    304,000.10x = 52,193,822,769.02
  5. Step 5: Solve for x
    x = 52,193,822,769.02/304,000.10
  6. Step 6: Final answer
    x = 171,690.15

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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.