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Finding the Fourth Proportional to 289,102.98, 433,683.48 and 99,538.24

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Solution

The fourth proportional to 289,102.98, 433,683.48 and 99,538.24 is: 149,317.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,102.98 : 433,683.48 = 99,538.24 : x
  2. Step 2: Convert to fraction form
    289,102.98/433,683.48 = 99,538.24/x
  3. Step 3: Cross multiply
    289,102.98x = 433,683.48 × 99,538.24
  4. Step 4: Simplify right side
    289,102.98x = 43,168,090,316.28
  5. Step 5: Solve for x
    x = 43,168,090,316.28/289,102.98
  6. Step 6: Final answer
    x = 149,317.35

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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.