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Finding the Fourth Proportional to 513,000.30, 769,583.14 and 158,014.16

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Solution

The fourth proportional to 513,000.30, 769,583.14 and 158,014.16 is: 237,046.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,000.30 : 769,583.14 = 158,014.16 : x
  2. Step 2: Convert to fraction form
    513,000.30/769,583.14 = 158,014.16/x
  3. Step 3: Cross multiply
    513,000.30x = 769,583.14 × 158,014.16
  4. Step 4: Simplify right side
    513,000.30x = 121,605,028,779.28
  5. Step 5: Solve for x
    x = 121,605,028,779.28/513,000.30
  6. Step 6: Final answer
    x = 237,046.70

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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.