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Finding the Fourth Proportional to 233,223.30, 349,316.55 and 202,119.30

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Solution

The fourth proportional to 233,223.30, 349,316.55 and 202,119.30 is: 302,729.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,223.30 : 349,316.55 = 202,119.30 : x
  2. Step 2: Convert to fraction form
    233,223.30/349,316.55 = 202,119.30/x
  3. Step 3: Cross multiply
    233,223.30x = 349,316.55 × 202,119.30
  4. Step 4: Simplify right side
    233,223.30x = 70,603,616,564.42
  5. Step 5: Solve for x
    x = 70,603,616,564.42/233,223.30
  6. Step 6: Final answer
    x = 302,729.69

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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.