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Finding the Fourth Proportional to 443,678.14, 612,275.79 and 242,474.14

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Solution

The fourth proportional to 443,678.14, 612,275.79 and 242,474.14 is: 334,614.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,678.14 : 612,275.79 = 242,474.14 : x
  2. Step 2: Convert to fraction form
    443,678.14/612,275.79 = 242,474.14/x
  3. Step 3: Cross multiply
    443,678.14x = 612,275.79 × 242,474.14
  4. Step 4: Simplify right side
    443,678.14x = 148,461,045,623.07
  5. Step 5: Solve for x
    x = 148,461,045,623.07/443,678.14
  6. Step 6: Final answer
    x = 334,614.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.