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Finding the Fourth Proportional to 294,443.68, 441,095.28 and 176,208.16

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Solution

The fourth proportional to 294,443.68, 441,095.28 and 176,208.16 is: 263,970.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,443.68 : 441,095.28 = 176,208.16 : x
  2. Step 2: Convert to fraction form
    294,443.68/441,095.28 = 176,208.16/x
  3. Step 3: Cross multiply
    294,443.68x = 441,095.28 × 176,208.16
  4. Step 4: Simplify right side
    294,443.68x = 77,724,587,673.48
  5. Step 5: Solve for x
    x = 77,724,587,673.48/294,443.68
  6. Step 6: Final answer
    x = 263,970.98

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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.