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Finding the Fourth Proportional to 289,156.48, 433,764.12 and 99,592.18

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Solution

The fourth proportional to 289,156.48, 433,764.12 and 99,592.18 is: 149,398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,156.48 : 433,764.12 = 99,592.18 : x
  2. Step 2: Convert to fraction form
    289,156.48/433,764.12 = 99,592.18/x
  3. Step 3: Cross multiply
    289,156.48x = 433,764.12 × 99,592.18
  4. Step 4: Simplify right side
    289,156.48x = 43,199,514,316.58
  5. Step 5: Solve for x
    x = 43,199,514,316.58/289,156.48
  6. Step 6: Final answer
    x = 149,398.40

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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.