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Finding the Fourth Proportional to 289,407.10, 434,110.65 and 242,751.10

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Solution

The fourth proportional to 289,407.10, 434,110.65 and 242,751.10 is: 364,126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,407.10 : 434,110.65 = 242,751.10 : x
  2. Step 2: Convert to fraction form
    289,407.10/434,110.65 = 242,751.10/x
  3. Step 3: Cross multiply
    289,407.10x = 434,110.65 × 242,751.10
  4. Step 4: Simplify right side
    289,407.10x = 105,380,837,809.22
  5. Step 5: Solve for x
    x = 105,380,837,809.22/289,407.10
  6. Step 6: Final answer
    x = 364,126.65

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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.