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Finding the Fourth Proportional to 289,085.40, 433,703.70 and 111,598.20

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Solution

The fourth proportional to 289,085.40, 433,703.70 and 111,598.20 is: 167,426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,085.40 : 433,703.70 = 111,598.20 : x
  2. Step 2: Convert to fraction form
    289,085.40/433,703.70 = 111,598.20/x
  3. Step 3: Cross multiply
    289,085.40x = 433,703.70 × 111,598.20
  4. Step 4: Simplify right side
    289,085.40x = 48,400,552,253.34
  5. Step 5: Solve for x
    x = 48,400,552,253.34/289,085.40
  6. Step 6: Final answer
    x = 167,426.48

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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.