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Finding the Fourth Proportional to 289,152.57, 433,852.90 and 111,784.13

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Solution

The fourth proportional to 289,152.57, 433,852.90 and 111,784.13 is: 167,724.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,152.57 : 433,852.90 = 111,784.13 : x
  2. Step 2: Convert to fraction form
    289,152.57/433,852.90 = 111,784.13/x
  3. Step 3: Cross multiply
    289,152.57x = 433,852.90 × 111,784.13
  4. Step 4: Simplify right side
    289,152.57x = 48,497,869,779.65
  5. Step 5: Solve for x
    x = 48,497,869,779.65/289,152.57
  6. Step 6: Final answer
    x = 167,724.16

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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.