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Finding the Fourth Proportional to 233,549.84, 319,964.44 and 224,803.10

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Solution

The fourth proportional to 233,549.84, 319,964.44 and 224,803.10 is: 307,981.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,549.84 : 319,964.44 = 224,803.10 : x
  2. Step 2: Convert to fraction form
    233,549.84/319,964.44 = 224,803.10/x
  3. Step 3: Cross multiply
    233,549.84x = 319,964.44 × 224,803.10
  4. Step 4: Simplify right side
    233,549.84x = 71,928,998,001.76
  5. Step 5: Solve for x
    x = 71,928,998,001.76/233,549.84
  6. Step 6: Final answer
    x = 307,981.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.