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Finding the Fourth Proportional to 233,506.30, 349,741.05 and 202,402.30

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Solution

The fourth proportional to 233,506.30, 349,741.05 and 202,402.30 is: 303,154.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,506.30 : 349,741.05 = 202,402.30 : x
  2. Step 2: Convert to fraction form
    233,506.30/349,741.05 = 202,402.30/x
  3. Step 3: Cross multiply
    233,506.30x = 349,741.05 × 202,402.30
  4. Step 4: Simplify right side
    233,506.30x = 70,788,392,924.42
  5. Step 5: Solve for x
    x = 70,788,392,924.42/233,506.30
  6. Step 6: Final answer
    x = 303,154.10

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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.