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Finding the Fourth Proportional to 333,156.34, 499,734.51 and 96,499.10

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Solution

The fourth proportional to 333,156.34, 499,734.51 and 96,499.10 is: 144,748.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,156.34 : 499,734.51 = 96,499.10 : x
  2. Step 2: Convert to fraction form
    333,156.34/499,734.51 = 96,499.10/x
  3. Step 3: Cross multiply
    333,156.34x = 499,734.51 × 96,499.10
  4. Step 4: Simplify right side
    333,156.34x = 48,223,929,073.21
  5. Step 5: Solve for x
    x = 48,223,929,073.21/333,156.34
  6. Step 6: Final answer
    x = 144,748.65

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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.