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Finding the Fourth Proportional to 553,938, 830,574.48 and 254,042.88

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Solution

The fourth proportional to 553,938, 830,574.48 and 254,042.88 is: 380,911.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,938 : 830,574.48 = 254,042.88 : x
  2. Step 2: Convert to fraction form
    553,938/830,574.48 = 254,042.88/x
  3. Step 3: Cross multiply
    553,938x = 830,574.48 × 254,042.88
  4. Step 4: Simplify right side
    553,938x = 211,001,532,953.70
  5. Step 5: Solve for x
    x = 211,001,532,953.70/553,938
  6. Step 6: Final answer
    x = 380,911.82

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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.