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Finding the Fourth Proportional to 306,504.34, 459,793.40 and 101,345.95

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Solution

The fourth proportional to 306,504.34, 459,793.40 and 101,345.95 is: 152,031.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,504.34 : 459,793.40 = 101,345.95 : x
  2. Step 2: Convert to fraction form
    306,504.34/459,793.40 = 101,345.95/x
  3. Step 3: Cross multiply
    306,504.34x = 459,793.40 × 101,345.95
  4. Step 4: Simplify right side
    306,504.34x = 46,598,198,994.74
  5. Step 5: Solve for x
    x = 46,598,198,994.74/306,504.34
  6. Step 6: Final answer
    x = 152,031.12

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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.