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Finding the Fourth Proportional to 610,282.34, 842,239.53 and 338,435.50

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Solution

The fourth proportional to 610,282.34, 842,239.53 and 338,435.50 is: 467,068.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,282.34 : 842,239.53 = 338,435.50 : x
  2. Step 2: Convert to fraction form
    610,282.34/842,239.53 = 338,435.50/x
  3. Step 3: Cross multiply
    610,282.34x = 842,239.53 × 338,435.50
  4. Step 4: Simplify right side
    610,282.34x = 285,043,756,455.32
  5. Step 5: Solve for x
    x = 285,043,756,455.32/610,282.34
  6. Step 6: Final answer
    x = 467,068.66

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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.