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Finding the Fourth Proportional to 614,384.82, 920,853.21 and 277,030.48

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Solution

The fourth proportional to 614,384.82, 920,853.21 and 277,030.48 is: 415,219.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,384.82 : 920,853.21 = 277,030.48 : x
  2. Step 2: Convert to fraction form
    614,384.82/920,853.21 = 277,030.48/x
  3. Step 3: Cross multiply
    614,384.82x = 920,853.21 × 277,030.48
  4. Step 4: Simplify right side
    614,384.82x = 255,104,406,775.84
  5. Step 5: Solve for x
    x = 255,104,406,775.84/614,384.82
  6. Step 6: Final answer
    x = 415,219.25

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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.