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Finding the Fourth Proportional to 294,684.66, 442,030.14 and 235,894.05

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Solution

The fourth proportional to 294,684.66, 442,030.14 and 235,894.05 is: 353,843.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,684.66 : 442,030.14 = 235,894.05 : x
  2. Step 2: Convert to fraction form
    294,684.66/442,030.14 = 235,894.05/x
  3. Step 3: Cross multiply
    294,684.66x = 442,030.14 × 235,894.05
  4. Step 4: Simplify right side
    294,684.66x = 104,272,279,946.67
  5. Step 5: Solve for x
    x = 104,272,279,946.67/294,684.66
  6. Step 6: Final answer
    x = 353,843.60

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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.