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Finding the Fourth Proportional to 277,521.47, 414,274.11 and 243,892.10

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Solution

The fourth proportional to 277,521.47, 414,274.11 and 243,892.10 is: 364,073.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,521.47 : 414,274.11 = 243,892.10 : x
  2. Step 2: Convert to fraction form
    277,521.47/414,274.11 = 243,892.10/x
  3. Step 3: Cross multiply
    277,521.47x = 414,274.11 × 243,892.10
  4. Step 4: Simplify right side
    277,521.47x = 101,038,181,444.07
  5. Step 5: Solve for x
    x = 101,038,181,444.07/277,521.47
  6. Step 6: Final answer
    x = 364,073.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.